swiftassist0801
swiftassist0801 swiftassist0801
  • 20-03-2019
  • Mathematics
contestada

Which expression is equivalent to -32^3/5?
A.-8
B.-^3 square root 32^5

Which expression is equivalent to 3235 A8 B3 square root 325 class=

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Ammimochi
Ammimochi Ammimochi
  • 20-03-2019

-32^3/5;

A. -8 is equivalent to -32^3/5

Answer Link
kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 20-03-2019

ANSWER

A. -8

EXPLANATION

The given expression is;

[tex] { - 32}^{ \frac{3}{5} } [/tex]

This is the same as;

[tex]( { - {2}^{5} })^{ \frac{3}{5} } [/tex]

The exponents can now multiply to give;

[tex]- {2}^{5 \times \frac{3}{5} } [/tex]

We cancel out the common factors in the exponents to get,

[tex] - 2 ^{3} [/tex]

[tex] = - 8[/tex]

The correct answer is A.

Answer Link

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