Exponents

Front

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

Back

When multiplying two powers with the same base, you add the exponents. For example, 3^5 ⋅ 3^7 = 3^(5+7) = 3^12.

Front

How do you simplify a power raised to another power?

Back

To simplify a power raised to another power, you multiply the exponents. For example, (3^2)^5 = 3^(2*5) = 3^10.

Front

What is the value of x when simplifying 1/x^(-7)?

Back

The value of x when simplifying 1/x^(-7) is x^7, because 1/x^(-n) = x^n.

Front

How do you simplify the expression b^8 / b^4?

Back

To simplify b^8 / b^4, you subtract the exponents: b^(8-4) = b^4.

Front

What is the result of 5^4 divided by 5^3?

Back

The result of 5^4 / 5^3 is 5^(4-3) = 5^1 = 5.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero is equal to 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

How do you express a fraction with a negative exponent?

Back

A fraction with a negative exponent can be expressed as the reciprocal of the base raised to the positive exponent. For example, (1/a^n) = a^(-n).

Front

What is the power of a product rule?

Back

The power of a product rule states that (ab)^n = a^n * b^n.

Front

What is the power of a quotient rule?

Back

The power of a quotient rule states that (a/b)^n = a^n / b^n.