Question

Write the expression in exponential form. (find a and b)

Please help!!!!! ASAP

Answer 1

`a=8,\ b=5.`

Explanation:

we will use the properties:

`(a^m)^n=a^(mn)` and
`a^{(1)/(n)}=\sqrt[^n]{a}`

we are given
`(\sqrt[^5]{10x})^8`. first, using the second property, the inner expression can be expressed in the form:
`(10x)^(1)/(5)`. then, we use the first property to expand:
`((10x)^(1)/(5))^8=(10x)^(8)/(5)`.

thus, we have
`a=8,\ b=5.`