Properties of Exponents Test 1

Front

What is the property of exponents that states a^m / a^n = a^(m-n)?

Back

This property allows you to simplify expressions by subtracting the exponents when dividing like bases.

Front

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

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

What is the result of multiplying two powers with the same base, a^m * a^n?

Back

The result is a^(m+n), which means you add the exponents.

Front

How do you simplify the expression 12^-6 / 12^-8?

Back

You can simplify it using the property of exponents: 12^-6 / 12^-8 = 12^(-6 - (-8)) = 12^(2).

Front

What is the result of 4^4 * 4^0?

Back

The result is 4^4, since 4^0 = 1 and multiplying by 1 does not change the value.

Front

What is the property of exponents that states (a^m)^n = a^(m*n)?

Back

This property allows you to simplify expressions by multiplying the exponents when raising a power to another power.

Front

What is the result of 5^6 * 5^2?

Back

The result is 5^(6+2) = 5^8, which means you add the exponents.

Front

How do you simplify the expression 6^5 ÷ 6^3?

Back

You can simplify it using the property of exponents: 6^5 ÷ 6^3 = 6^(5-3) = 6^2.

Front

What is the result of 6^-3 / 6^-6?

Back

The result is 6^(-3 - (-6)) = 6^(3).

Front

What does it mean when an exponent is negative, such as a^-n?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.