Radicals, Exponent Rules, & Rational Exponents Review

Front

What is the simplified form of √125?

Back

5√5

Front

Write y²/³ as a radical expression.

Back

∛y²

Front

Write ∛x⁷ in exponential form.

Back

x^(7/3)

Front

What is (xy²z³)⁴ simplified?

Back

x⁴y⁸z¹²

Front

Simplify (2x²)³.

Back

8x⁶

Front

What is the definition of a radical?

Back

A radical is an expression that includes a root, such as a square root or cube root.

Front

What is the exponent rule for multiplying like bases?

Back

When multiplying like bases, add the exponents: a^m * a^n = a^(m+n).

Front

What is the exponent rule for dividing like bases?

Back

When dividing like bases, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the definition of rational exponents?

Back

Rational exponents are exponents that are fractions, representing roots: a^(m/n) = n√(a^m).

Front

What is the simplified form of (x²)⁴?

Back

x^(2*4) = x⁸.