Properties of Exponents Review

Front

What is the product of powers property of exponents?

Back

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

Front

Simplify: 2^5 ⋅ 2^6

Back

2^11

Front

What is the power of a power property of exponents?

Back

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

Front

Simplify: (-8x^2y^3)(-5x^2y^3)

Back

40x^4y^6

Front

What is the power of a product property of exponents?

Back

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

Front

Simplify: 2c ⋅ 2c ⋅ 2c ⋅ 2c ⋅ 2c

Back

32c^5

Front

What is the zero exponent property?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

Simplify: (2rs^2)^3(rs)^3

Back

8r^6s^9

Front

What is the negative exponent property?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Use the properties of exponents to rewrite: x^(-3)y^4

Back

y^4/x^3