8th Flashcard: All Exponent Rules

Front

What is the rule for rewriting a negative exponent?

Back

To rewrite a negative exponent, take the reciprocal of the base and change the exponent to positive. For example, g^-7 = 1/g^7.

Front

In the expression 2^7 = 128, what is the base?

Back

The base is 2.

Front

What do we do with the exponents when dividing two powers with the same base?

Back

We subtract the exponents.

Front

What is the value of any number raised to the power of 0?

Back

Any number raised to the power of 0 is always 1.

Front

What is the result of (4qm^2p^2)^4?

Back

The result is 256q^4m^8p^8.

Front

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

Back

When multiplying two powers with the same base, we add the exponents.

Front

What is the power of a power rule?

Back

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

Front

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

Back

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

Front

What happens when you raise a product to a power?

Back

When raising a product to a power, you raise each factor to that power. For example, (ab)^n = a^n * b^n.

Front

What happens when you raise a quotient to a power?

Back

When raising a quotient to a power, you raise both the numerator and the denominator to that power. For example, (a/b)^n = a^n / b^n.