Laws of Exponents

Front

What is the product law of exponents?

Back

The product law of exponents states that when multiplying two expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power law of exponents?

Back

The power of a power law states that when raising an exponent to another exponent, you multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the zero exponent rule?

Back

The zero exponent rule states that any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

How do you simplify the expression n²⋅n⁴⋅n⁵?

Back

Using the product law of exponents, you add the exponents: n^(2+4+5) = n^11.

Front

What is the value of n^0?

Back

The value of n^0 is 1, as long as n is not zero.

Front

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

Back

Using the product law of exponents, you add the exponents: 5^(5+3) = 5^8.

Front

What is the result of (y^8)^5?

Back

Using the power of a power law, you multiply the exponents: (y^8)^5 = y^(8*5) = y^40.

Front

What does (9y)^3 simplify to?

Back

Using the power of a product rule, (9y)^3 = 9^3 * y^3 = 729y^3.

Front

What is the base in the expression 5^3?

Back

The base in the expression 5^3 is 5.

Front

What is the exponent in the expression n^4?

Back

The exponent in the expression n^4 is 4.