Homework #16- Basic Exponent Rules

Front

What happens to the exponents when we raise a power to a power?

Back

We multiply the exponents.

Front

How do you simplify the expression m^12 / m^3?

Back

m^(12-3) = m^9.

Front

What is the result of (5^8) ÷ (5^2)?

Back

5^(8-2) = 5^6.

Front

What is the simplified form of 5^3 ⋅ 5^4?

Back

5^(3+4) = 5^7.

Front

Is 7^8 / 7^4 equal to 7^2?

Back

False; it should be 7^(8-4) = 7^4.

Front

What is the product rule for exponents?

Back

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

Front

What is the quotient rule for exponents?

Back

When dividing two powers with the same base, subtract the exponents.

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents.

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.