Rational Exponents

Front

According to exponent rules, when we multiply the same base, we _______ the exponents.

Back

Add

Front

Simplify (2a²b⁴z)(6a³b²z⁵)

Back

12a⁵b⁶z⁶

Front

Simplify (2x⁷)³

Back

8x²¹

Front

Simplify 2³

Back

8

Front

Simplify 4²

Back

16

Front

Define rational exponent.

Back

An exponent that can be expressed as a fraction, where the numerator is a power and the denominator is a root.

Front

What is the relationship between rational exponents and roots?

Back

A rational exponent represents both a power and a root; for example, x^(1/n) is the nth root of x.

Front

Simplify x^(1/2) * x^(1/3)

Back

x^(5/6)

Front

What is the value of 27^(2/3)?

Back

9

Front

If a^(m/n) = b, what is the equivalent expression for a?

Back

a = b^(n/m)