Question

Find the value of k if (5000)^5=3.125*10^k

Answer 1

The value of k is 18.

Step-by-step explanation:

Consider the provided number.

$(5000)^5=3.125\times10^k$

We need to find the value of k.

Rewrite the above equation as shown:

$(5\times1000)^5=3.125\times10^k$

$(5\times10^3)^5=3.125\times10^k$

$5^5\times10^{3\times5}=3.125\times10^k$

$3125\times10^{15}=3.125\times10^k$

$3.125\times10^{18}=3.125\times10^k$

Hence, the value of k is 18.

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