Question

I need to rewrite d and h without the use of fractional or negative exponents by using radicals, how I do that???

Answer 1

Answer:

The pencil marks on your page show you exactly how to do that.

Step-by-step explanation:

Take advantage of two rules of exponents:

$\sqrt[n]{x}=x^{\frac{1}{n}}\\\\x^{-n}=\dfrac{1}{x^{n}}$

$(d)\quad x^{\frac{-1}{5}}=\dfrac{1}{x^{\frac{1}{5}}}=\dfrac{1}{\sqrt[5]{x}}\\\\(h)\quad x^{\frac{-2}{11}}=\dfrac{1}{x^{\frac{2}{11}}}=\dfrac{1}{\sqrt[11]{x^{2}}}$

Answer 2

The answers written there are correct

What you need to do to solve problems involving fractional or negative exponents is to first break down the exponent. It could be the product of many exponents that are easier to deal with on their own.

If the exponent is negative it can be rewritten as a reciprocal

If the exponent is negative divide it by -1 and divide 1 by what remains

e.g. x^-1/5

     divide -1/5 by -1 and you have 1/5, rewrite it as 1/(x^1/5)

If the exponent is a fraction it can be written as a radical

Make sure the numerator is a positive whole number by rewriting the exponent as a fraction with numerator 1 multiplied by an integer

e.g. x^2/11

      2/11 is the same as 1/11 x 2

     x^(1/11 x 2)

If we call the denominator n then a number with a fractional exponent can be written as the nth root of that number

Hope this helps ^-^