Question

Rewrite the expression 2^4sqrtx^7 using rational exponents

Answer 1

`16x^{(7)/(2)}`

Explanation:

`2^4√(x^7)\\\\16√(x^7)\\\\16(x^7)^(1)/(2)\\ \\16x^{(7)/(2)}`

Remember to multiply exponents when raising a base with an exponent to an exponent!

Answer 2

The expression as a rational exponent is 16x^(7/2)

Explanation:

The expression is given as:

2^4√x^7

Evaluate the exponent 2^4

16√x^7

Express √ as a power of 1/2

16* x^(7 * 1/2)

This gives

16* x^(7/2)

Evaluate the product

16x^(7/2)

Hence, the expression as a rational exponent is 16x^(7/2)