Question

Help please I actually don’t understand this one question

Answer 1

The value of 'a' in the equation
`\(\frac{\sqrt[5]{x}}{(x^(1/5))^4} = x^a\)` is -3/5, which is found by applying exponent rules such as multiplying powers when raising a power to a power and subtracting powers when dividing with the same base.

We can use the properties of exponents to determine the value of a for the equation
`\(\frac{\sqrt[5]{x}}{(x^(1/5))^4} = x^a\).`

By applying exponent rules, we notice that the fifth root of x can be written as x to the power of 1/5, so the numerator is x^(1/5).

When we have a power to a power, we multiply the exponents, so the denominator becomes x^(1/5 * 4), which simplifies to x^(4/5).

Dividing two powers with the same base allows us to subtract the exponents.

Therefore, x^(1/5) divided by x^(4/5) is x^(1/5 - 4/5), which results in x^(-3/5). Hence, a = -3/5.

The probable question may be:

Use the properties of exponents to determine the value of a for the

equation:

\frac{\sqrt[5]{x}}{(x^{1/5})^4} =x^a