Exponents and Radicals

Identify the rational exponent expression.

• 4^2/3

• 8³

• 8⁴

• 12^1/2

Write the expression in radical form: (10n)^3/2

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Simplify the expression using the laws of exponents.

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Simplify the expression using the laws of exponents.

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Simplify.

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Divide and simplify.

• 2x⁴√2y

• 2x⁴√2

• 4x⁴

• 4x⁴y²

To evaluate 4^3/2 find ...

• the square of 4 and then take the cube root.

• the cube of 4 and then take the square root.

• the square root of 2 times the cube root of 4.

• the cube root of 4 and then take the square root.

A quick way to evaluate the expression b⁷× b⁵ would be to ...

• multiply the exponents. b³⁵

• divide the exponents. b^7/5

• add the exponents. b¹²

• subtract the exponents. b²

A quick way to evaluate the expression (5x⁴)(2x⁵) would be to ...

• multiply the coefficients and multiply the exponents. 10x²⁰

• multiply the coefficients and add the exponents. 10x⁹

• add the coefficients and multiply the exponents. 7x²⁰

• add the coefficients and add the exponents. 7x⁹

Simplify.

• - 100

• - 10

• 10

• 100