Properties of Exponents Test 1

Front

What is the quotient rule for exponents?

Back

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

Front

What is the product rule for exponents?

Back

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

Front

What is the power of a power rule?

Back

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

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).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.

Front

How do you simplify 16^5 / 16^8?

Back

Using the quotient rule: 16^(5-8) = 16^(-3) = 1/16^3.

Front

What is the value of 5^6 x 5^2?

Back

Using the product rule: 5^(6+2) = 5^8.

Front

What is the value of 4^4 x 4^0?

Back

Using the product rule: 4^(4+0) = 4^4.

Front

How do you simplify 10^6 ÷ 10^8?

Back

Using the quotient rule: 10^(6-8) = 10^(-2) = 1/10^2.

Front

How do you simplify 3^3 / 3^(-5)?

Back

Using the quotient rule: 3^(3-(-5)) = 3^(3+5) = 3^8.