Exponent Properties ALL- PEACH

Front

What is the product of powers property?

Back

When multiplying two expressions with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of powers property?

Back

When dividing two expressions with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a product property?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the power of a quotient property?

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.

Front

Simplify: x^28y^12 / x^2y

Back

x^26y^11.

Front

Simplify: x^28y^12 / x^8y^4

Back

x^20y^8.

Front

Complete the statement: 1^3 ____ 1^2.1^2

Back

=.

Front

Complete the statement: 6^5 ____ 6^2.6^2

Back

>.

Front

If (3d^m g^4)^n = 9d^6 g^8, find m and n.

Back

m = 3 and n = 2.