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bezimeni [28]
2 years ago
15

Write the expression using a single exponent.

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
6 0

Answer:  D.  7^11

Reason:

The rule we use is a^b*a^c = a^{b+c}

When multiplying exponentials of the same base, we add the exponents.

The exponents 5 and 6 add to 5+6 = 11

So,

7^5 \times 7^6 = 7^{5+6} = 7^{11}

The base stays the same the entire time.

mina [271]2 years ago
5 0
Answer:
D. 7^11
Explanation:
When simplifying exponents you keep the base the same, and add the exponents.
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The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
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Perimeter, P = 112 meters

Step-by-step explanation:

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

<u>Given the following data;</u>

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To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

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Substituting eqn 1 into eqn 2, we have;

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Dividing both sides by 6, we have;

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Taking the square root of both sides, we have;

W = √64

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Perimeter = 2(L + W)

Substituting the values into the formula, we have;

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