Exponent rules

Front

What is the product of powers rule in exponents?

Back

When multiplying two powers with the same base, add 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 power of a product rule in exponents?

Back

When raising a product to a power, apply the exponent to each factor. For example, (ab)^n = a^n * b^n.

Front

What is the power of a quotient rule in exponents?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator. For example, (a/b)^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. 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

What is the definition of an exponent?

Back

An exponent indicates how many times a base is multiplied by itself. For example, in a^n, 'n' is the exponent.

Front

Calculate: 2^3 * 2^2

Back

Using the product of powers rule: 2^(3+2) = 2^5 = 32.

Front

Calculate: (3^2)^3

Back

Using the power of a power rule: 3^(2*3) = 3^6 = 729.

Front

Calculate: (4 * 5)^2

Back

Using the power of a product rule: 4^2 * 5^2 = 16 * 25 = 400.