simplifying exponents and rewriting rational exponents and radicals

Front

What is the radical form of x^(1/2)?

Back

√x

Front

When dividing expressions with the same base, what do you do to the exponents?

Back

Subtract the exponents.

Front

What does a negative exponent indicate?

Back

It indicates the reciprocal of the base raised to the opposite positive exponent.

Front

Simplify: (a^3 * b^2)^2

Back

a^6 * b^4

Front

What is the product of x^m and x^n?

Back

x^(m+n)

Front

What is the quotient of x^m and x^n?

Back

x^(m-n)

Front

Rewrite 4^(3/2) in radical form.

Back

√(4^3) = √64 = 8

Front

What is the simplified form of (x^2)^3?

Back

x^6

Front

If a^0 = 1, what can you say about any non-zero number raised to the power of zero?

Back

It equals 1.

Front

What is the simplified form of x^(-3)?

Back

1/x^3