Question

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

Answer 1

Answer:

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

Step-by-step 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)

Answer 2

Answer:

$16x^{\frac{7}{2}}$

Step-by-step explanation:

$2^4\sqrt{x^7}\\\\16\sqrt{x^7}\\\\16(x^7)^\frac{1}{2}\\ \\16x^{\frac{7}{2}}$

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