Simplifying Exponents

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify (x^5)^4.

Back

x^(5*4) = x^20.

Front

What is the product of powers rule in exponents?

Back

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

Front

Simplify x^3 * x^4.

Back

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

Front

What is the quotient of powers rule in exponents?

Back

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

Front

Simplify x^8 / x^3.

Back

x^(8-3) = x^5.

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 2^4.

Back

2^4 = 16.

Front

What is the definition of a base in exponents?

Back

The base is the number that is being raised to a power. In a^n, 'a' is the base.