Simplifying Exponent Expressions (Laws of Exponents)

Front

What is the law of exponents for multiplying terms with the same base?

Back

When multiplying terms with the same base, you add the exponents.

Front

Simplify: (2x^2)^2(3x^3)^3

Back

108x^13

Front

What is the law of exponents for dividing terms with the same base?

Back

When dividing terms with the same base, you subtract the exponents.

Front

Simplify: (45x^6y^2) / (5x^4y^9)

Back

(9x^2)/y^7

Front

What is the value of x^0?

Back

Any non-zero number raised to the power of 0 is 1.

Front

What is the law of exponents for raising a power to a power?

Back

When raising a power to a power, you multiply the exponents.

Front

Simplify: 2^3 * 2^4

Back

2^7

Front

What is the value of (x^a)(x^b)?

Back

x^(a+b) when multiplying terms with the same base.

Front

Simplify: 3^2 * 3^3

Back

3^5

Front

What is the value of (x^m)/(x^n)?

Back

x^(m-n) when dividing terms with the same base.