Laws of Exponents

Front

What is the quotient rule for exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the product rule for 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?

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

What is the standard form of an expression?

Back

The standard form of an expression is when it is expressed as a single power of a number, such as a^n.

Front

Calculate 4^5 / 4^7 using the laws of exponents.

Back

4^5 / 4^7 = 4^(5-7) = 4^(-2) = 1/4^2 = 1/16.

Front

What is the result of (6^3)(6^4) in exponential form?

Back

(6^3)(6^4) = 6^(3+4) = 6^7.

Front

Evaluate (2^3)(2^2).

Back

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

Front

Convert 2^2 * 2^4 into standard form.

Back

2^2 * 2^4 = 2^(2+4) = 2^6 = 64.