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3 years ago

11

Evaluate this equation: (4^-3) (4^6)

2 answers:

Stolb23 [73]3 years ago

6 0

The answer is: " 64 " .
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Explanation:
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4⁻³ * 4⁶ = 4⁽⁻³⁺⁶⁾ = 4³ = 4*4*4 = 64. <span>The answer is: </span>"64" .
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Or:
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4⁻³ * 4⁶ = 1/4³ * 4⁶ = 4⁶ / 4³ = 4⁽⁶⁻³⁾ = 4³ = 4*4*4 = 64.
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Note the following properties of exponents:
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1) xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

2) x ⁻ᵃ = 1/xᵃ ; (x ≠ 0) ;

3) xᵃ/xᵇ = x⁽ᵃ⁻ᵇ⁾ ; (x ≠ 0) ;
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marishachu [46]3 years ago

4 0

The answer is -1/64, i hope its helps

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Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

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Read 2 more answers

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Answer:

Step-by-step explanation:

If it is Tanya and 3 friends, there are 4 people in total. If they all contributed the saem amount, you would do 75/4= 18.75 dollars each

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3 years ago