Exponent Rules

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 quotient of powers rule in exponents?

Back

When dividing two powers with the same base, subtract 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 zero exponent rule?

Back

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

Front

Simplify: y^5 * y^10

Back

y^(5+10) = y^15.

Front

Evaluate: (x^3)^4

Back

x^(3*4) = x^12.

Front

Simplify: 2^3 * 2^2

Back

2^(3+2) = 2^5 = 32.

Front

Simplify: 5^4 / 5^2

Back

5^(4-2) = 5^2 = 25.

Front

Evaluate: (3^2)^3

Back

3^(2*3) = 3^6 = 729.