What happened when the tree saw the ghost puzzle time
Answer 1:
Evaluate:
7⁻⁵ ₓ 7³
Using the law of exponents which states that any exponential numbers when multiplied with same bases, their exponents will be added up.
Hence,
7⁻⁵ ₓ 7³ = 7⁻⁵⁺³
7⁻⁵ ₓ 7³ = 7⁻²
Now,
For further simplification, we will switch the 7 to the denominator to make the power positive.
We, get;
7⁻⁵ ₓ 7³ = 1/7²
7⁻⁵ ₓ 7³ = 1/49
From the answer choice, this refers to the letter T.
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Answer 2:
Evaluate:
5² ₓ 5⁻⁶
Using the law of exponents which states that any exponential numbers when multiplied with same bases, their exponents will be added up.
Hence,
5² ₓ 5⁻⁶ = 5²⁻⁶
5² ₓ 5⁻⁶ = 5⁻⁴
Now,
For further simplification, we will switch the 5 to the denominator to make the power positive.
We, get;
5² ₓ 5⁻⁶ = 1/5⁴
7⁻⁵ ₓ 7³ = 1/625
From the answer choice, this refers to the letter S.
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Answer 3:
Evaluate:
2⁷ ÷ 2¹⁰
Using the law of exponents:
2⁷ ÷ 2¹⁰ = 2⁷⁻¹⁰
As, 10 is a bigger number with the negative sign, so we will subtract the two powers with the sign of greater number; that is, negative.
Thus,
2⁷ ÷ 2¹⁰ = 2⁻³
Now,
For further simplification, we will switch the 2 to the denominator to make the power positive.
We, get;
2⁷ ÷ 2¹⁰ = 1/2³
7⁻⁵ ₓ 7³ = 1/8
From the answer choice, this refers to the letter E.
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Answer 4:
Evaluate:
6⁰ ÷ 6³
Using the law of exponent:
6⁰ ÷ 6³ = 6⁰⁻³
As, 3 is a bigger number with the negative sign, so we will subtract the two powers with the sign of greater number; that is, negative.
Thus,
6⁰ ÷ 6³ = 6⁻³
Now,
For further simplification, we will switch the 6 to the denominator to make the power positive.
We, get;
6⁰ ÷ 6³ = 1/6³
6⁰ ÷ 6³ = 1/6³
7⁻⁵ ₓ 7³ = 1/216
From the answer choice, this refers to the letter A.
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Answer 5:
Evaluate:
(-8)³ ÷ (-8)⁵
Using the law of exponents:
(-8)³ ÷ (-8)⁵ = (-8)³⁻⁵
As, 5 is a bigger number with the negative sign, so we will subtract the two powers with the sign of greater number; that is, negative.
Thus,
(-8)³ ÷ (-8)⁵ = (-8)⁻²
Now,
For further simplification, we will switch the -8 to the denominator to make the power positive.
We, get;
(-8)³ ÷ (-8)⁵ = 1/(-8)²
(-8)³ ÷ (-8)⁵ = 1/64
From the answer choice, this refers to the letter I.
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Answer 6:
Evaluate:
(2.2)⁷ ÷ (2.2)⁹
We can see that both the numbers have the same bases but different powers and they are being divided. Therefore, using the law of exponents:
we get,
(2.2)⁷ ÷ (2.2)⁹ = (2.2)⁷⁻⁹
As, 9 is a bigger number with the negative sign, so we will subtract the two powers with the sign of greater number; that is, negative.
Thus,
(2.2)⁷ ÷ (2.2)⁹ = (2.2)⁻²
Now,
For further simplification, we will switch the -8 to the denominator to make the power positive.
We, get;
(2.2)⁷ ÷ (2.2)⁹ = 1/(2.2)²
(2.2)⁷ ÷ (2.2)⁹ = 1/4.84
From the answer choice, this refers to the letter W.
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Answer 7:
Evaluate:
4⁵ ÷ 4⁴ ₓ 4⁸ ÷ 4¹³
Using the law of exponents.
We get;
4⁵ ÷ 4⁴ ₓ 4⁸ ÷ 4¹³ = 4⁵⁻⁴ ₓ 4⁸⁻¹³
As, 13 is a bigger number with a negative sign, so we will subtract the two powers with the sign of greater number; that is, negative.
Thus,
4⁵ ÷ 4⁴ ₓ 4⁸ ÷ 4¹³ = 4¹ ₓ 4⁻⁵
Now,
4⁵ ÷ 4⁴ ₓ 4⁸ ÷ 4¹³ = 4¹⁻⁵
4⁵ ÷ 4⁴ ₓ 4⁸ ÷ 4¹³ = 4⁻⁴
For further simplification, we will switch the 4 to the denominator to make the power positive.
We, get;
4⁵ ÷ 4⁴ ₓ 4⁸ ÷ 4¹³ = 1/4⁴
(2.2)⁷ ÷ (2.2)⁹ = 1/256
From the answer choice, this refers to the letter E.
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Answer 8:
Evaluate:
(-9)³ ÷ {(-9)⁷ × (-9)⁻²}
Let's solve the denominator part first.
Hence,
(-9)³ ÷ {(-9)⁷ × (-9)⁻²} = (-9)³ ÷ (-9)⁷⁻²
As, 7 is a bigger number with a negative sign, so we will subtract the two powers with the sign of greater number; that is, negative.
Thus,
(-9)³ ÷ {(-9)⁷ × (-9)⁻²} = (-9)³ ÷ (-9)⁵
Now,
Using the law of exponents.
We get,
(-9)³ ÷ {(-9)⁷ × (-9)⁻²} = (-9)³⁻⁵
(-9)³ ÷ {(-9)⁷ × (-9)⁻²} = (-9)⁻²
For further simplification, we will switch the 4 to the denominator to make the power positive.
We, get;
(-9)³ ÷ {(-9)⁷ × (-9)⁻²} = 1/(-9)²
(-9)³ ÷ {(-9)⁷ × (-9)⁻²} = 1/81
From the answer choice, this refers to the letter R.
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Answer 9:
Evaluate:
3⁻² ₓ a⁴
We cannot solve together, instead, we would solve them separately,
Hence,
3⁻² ₓ a⁴ = 1/3² × a⁴
3⁻² ₓ a⁴ = 1/9 × a⁴
3⁻² ₓ a⁴ = a⁴/ 9
From the answer choice, this refers to the letter I.
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Answer 10:
Evaluate:
12⁻¹ ₓ t⁻³
We cannot solve together, instead we would solve them separately,
Hence,
12⁻¹ ₓ t⁻³ = 1/12 × 1/t³
12⁻¹ ₓ t⁻³ = t³/12
From the answer choices, this refers to the letter B.
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See the attchment for the last 4 answers.
The answer is.."it was petrified."