Simplify Expressions with exponent rules

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the quotient of powers rule in exponents?

Back

When dividing two expressions with the same base, subtract the exponents. For example, 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. For example, (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. 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).

Front

Simplify: (2^3)^4

Back

2^(3*4) = 2^12.

Front

Simplify: 5^2 * 5^3

Back

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

Front

Simplify: 10^5 / 10^2

Back

10^(5-2) = 10^3.

Front

What happens when you multiply two different bases with the same exponent?

Back

You can multiply the bases together and keep the exponent. For example, a^n * b^n = (a*b)^n.

Front

What is the simplified form of 3^4 * 3^2?

Back

3^(4+2) = 3^6.