Question

By what number should (1/5) ^ 3 get 15 as the product?​

Answer 1

Given:

$(1/5)^{3}$

To Find:

Answer as 15

Solution:

We know meaning of raising a number to power is multiplying it that number of times.

So here $(1/5)^{3}$ means multiply the same number three times:

=$1*1*1/5*5*5$

=1/125

Now we know that 15 actually means multiplication of 3*5 and we need that in numerator and so we need to multiply 3*5 in the numerator

(1*1*1/5*5*5) *(3*5)   (step1)

After calculation we see that the equation comes out to be

15/125

But we need answer as only 15 so to remove 125 from the denominator it is important that we multiply 125 in the numerator also.

The result of which will be that 125 in numerator and in denominator will cancel each other and we will be left only with 15 as the final answer which we need.

(15/125)*125     (step2)

=15

So from step 1 and step 2, if we combine, we see that we multiplied 125*15

so we need to multiply 125*15 to get answer as 15

125*15

=1875

1875  should be multiplied by (1/5) ^ 3 to get 15 as the product.