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Elden [556K]
3 years ago
12

which expression is not equal to the expression shown? 3 to the 3rd power divided by 3 to the negative 4th power. Need the answe

r fast.

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

3^{-3} ÷ 3^{4}

Step-by-step explanation:

Evaluate 3^3 ÷ 3^{-4}, then evaluate each given expression to find which of them will give us the same result.

3^3 ÷ 3^{-4}

27 ÷ \frac{1}{3^4} (recall: a^{-x} = \frac{1}{a^x}

27 ÷ \frac{1}{81}

27 * \frac{81}{1} (changing from division operation to multiplication by flipping the fraction to our right upside down)

27 * 81 = 2,187

Let's compare the expressions in the given options to the value we got above:

Option 1: 3*3⁶

= 3*729 = 2,187 (this is equal)

Option 2: 3⁷ ÷ 3⁰

= 2,187 ÷ 1 (recall: x⁰ = 1, therefore, 3⁰ = 1)

= 2,187 (this is equal)

Option 3: 3³ * 3⁴

= 27*81 = 2,187 (this is equal)

Option 4: 3^{-3} ÷ 3^{4}

\frac{1}{3^3} ÷ 81

\frac{1}{27} ÷ 81

\frac{1}{27} * \frac{1}{81} (changing from division to multiplication)

= \frac{1*1}{27*81}

= \frac{1}{2,187} (not equal)

3^{-3} ÷ 3^{4} i not equal to 3^3 ÷ 3^{-4}.

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The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
harina [27]

Let

S------> The sum of the measures of the interior angles of a polygon

n-------> number of sides of a polygon

we know that

The formula to find the sum of the measures of the interior angles of a polygon is equal to

S=(n-2)*180°

in this problem

S=2880°

Solve for n

S=(n-2)*180\\ \\ n=\frac{S}{180}+2\\ \\ n=\frac{2880}{180}+2\\ \\ n=16+2\\ \\ n=18\ sides

therefore

the answer is

18\ sides


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3 years ago
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Question Completion Status:
Vlad [161]

Answer:

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Step-by-step explanation:

to get the square feet (or the area basically) you multiply the length and width together

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3 years ago
Margaret’s bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fraction of s
AleksandrR [38]

Fraction of shampoo left = \frac{13}{24}

Solution:

Given fraction of full shampoo  =\frac{7}{8}.

Fraction of shampoo Margaret used  =\frac{1}{3}

Fraction of shampoo left = Full shampoo – fraction of shampoo used

                                          =\frac{7}{8}-\frac{1}{3}

To make the denominators same do cross multiplication.

                                          =\frac{7\times3}{8\times3}-\frac{1\times8}{3\times8}

                                          =\frac{21}{24}-\frac{8}{24}

                                          =\frac{21-8}{24}

                                          =\frac{13}{24}

Hence \frac{13}{24} of the shampoo bottle is left.

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3 years ago
Juanita wants to buy 12.5 pounds of stones to decorate her garden. The stone normally sells for $1.80 a pound. The salesman offe
anastassius [24]

Step-by-step explanation:

$1.80 per pound

The amount she's supposed to buy it is

1.80 × 12.5 = $22.5

She paid $21.25 for the 12.5 pounds, that means she saved

$22.5 - $21.25 = $1.25

the amount she saved per pound is

1.25/12.5 = $0.1 per pound

5 0
3 years ago
How many 5/16’s are in 1 7/8
kotegsom [21]

Answer: 200/1000 or 0.2 in decimal form.

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