Laws of Exponents

Front

What is the product of powers rule in 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 quotient of powers rule in exponents?

Back

When dividing powers with the same base, subtract the exponents. For example, x^a / x^b = x^(a-b).

Front

What is the power of a power rule in exponents?

Back

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

Front

What is the zero exponent rule?

Back

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

Front

Simplify the expression: (x^3)^2

Back

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

Front

Simplify the expression: x^4 * x^2

Back

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

Front

Simplify the expression: x^5 / x^2

Back

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

Front

What happens when you multiply a number by itself zero times?

Back

The result is 1, according to the zero exponent rule.

Front

What is the value of (-3)^0?

Back

1, because any non-zero number raised to the power of zero equals one.