Properties of Exponents

Front

What is the product of powers property of exponents?

Back

When multiplying powers with the same base, add the exponents. For example, x^a * x^b = x^(a+b).

Front

What is the power of a power property of exponents?

Back

When raising a power to another power, multiply the exponents. For example, (x^a)^b = x^(a*b).

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. For example, (ab)^n = a^n * b^n.

Front

What is the zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n) (where a ≠ 0).

Front

Simplify: (x^3)(x^4)

Back

x^7.

Front

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

Back

2^5.

Front

Simplify: (3m^2)(4m^3)

Back

12m^5.

Front

Simplify: (5x^2)^3

Back

125x^6.

Front

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

Back

6a^5.