Exponent Review

Front

What is the product of two powers with the same base?

Back

To multiply two powers with the same base, add their exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify the expression a^3b^4 * a^5b^2.

Back

The simplified expression is a^8b^6.

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

Simplify (2^8)^2.

Back

The simplified expression is 2^16.

Front

What is the result of dividing two powers with the same base?

Back

To divide two powers with the same base, subtract the exponent of the denominator from the exponent of the numerator. For example, a^m / a^n = a^(m-n).

Front

Simplify the expression (a^3b^5)^7.

Back

The simplified expression is a^21b^35.

Front

What is the quotient of two powers with the same base?

Back

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

Front

What is the value of -38 ÷ 2?

Back

The value is -19.

Front

Simplify the expression c^4d^5 * c^3d^2.

Back

The simplified expression is c^7d^7.

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).