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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

User Lucas Reis
by
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1 Answer

1 vote

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.

User Daniel Mohr
by
6.6k points
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