Rules of Exponents

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the power of a power rule in exponents?

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 rule in exponents?

Back

When raising a product to a power, apply the exponent to each factor: (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: a^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Front

Simplify: y^10 * y^5

Back

y^15.

Front

Simplify: (x^3)^4

Back

x^12.

Front

If (3^x)^2 = 3^8, what does x equal?

Back

x = 4.

Front

Simplify: 2^5 / 2^2

Back

2^3.

Front

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

Back

4^5.