simplifying exponents and rewriting rational exponents and radicals

Front

What is the rule for simplifying expressions when raising a power to a power?

Back

Multiply the exponents.

Front

What happens to the exponents when dividing expressions?

Back

Subtract the exponents.

Front

Simplify: (x^3)^4

Back

x^12

Front

Simplify: x^5 * x^2

Back

x^7

Front

Simplify: x^8 / x^3

Back

x^5

Front

What is a rational exponent?

Back

An exponent that can be expressed as a fraction.

Front

Convert the radical expression √(x^6) to an exponent form.

Back

x^(6/2) or x^3.

Front

Simplify: 2^3 * 2^2

Back

2^5 or 32.

Front

What is the value of 4^(1/2)?

Back

2.

Front

Convert the expression x^(1/3) to radical form.

Back

√[3]{x}.