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oee [108]
2 years ago
13

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Mathematics
1 answer:
valentina_108 [34]2 years ago
7 0

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

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The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

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The base of the logarithm is given as:

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To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

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Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

Read more about logarithm at:

brainly.com/question/20785664

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