Question

By what number should 4/9 raised to the power (-5) be multiplied so as to get 2/3 raised to the power (-2).
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Answer 1

Answer:

2/3 raised to the power 8.                                            

Step-by-step explanation:

Let the number multiplied be x.

4/9^(-5) * x = 2/3^(-2)

9/4^(5) * x = 3/2^(2)

[3/2^(2)]^(5) * x = 3/2^(2)

3/2^(10) * x = 3/2^(2)

x = 3/2^(2) / 3/2^(10)

x = 3/2^(2-10)

x = 3/2^(-8)

x = 2/3^(8)

Answer 2

Answer:

4/9^4

Step-by-step explanation:

let the no. which will be multiplied by 4/9raised to the power -5 be x

A/q 4/9 ^(-5)×X=2/3^(-2)

=9/4^5×X=3/2^2

=X=3/2^2×4/9^5

=X=4/9^4