Question

若2的x次幂等于32分之1,3分之1的y次幂等于81,求x的y次幂

Answer 1

2^x=1/32

2^x=(1/3)^5

2^x=2^(-5)

x=5

(1/3)^y=81

(1/3)^y=3^4

(1/3)^y=(1/3)^(-4)

y=-4

x^y

=5^(-4)

=1/(5^4)

=1/625

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