Laws of Exponents

Front

What is the product of powers property in exponents?

Back

The product of powers property states that when multiplying two expressions with the same base, you can add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify: (x^3)(x^2)

Back

x^5

Front

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

Back

Any non-zero number raised to the power of zero is equal to 1. For example, a^0 = 1.

Front

Simplify: x^3 * x^4

Back

x^7

Front

What is the sum of the exponents when multiplying like bases?

Back

The sum of the exponents is the result of the multiplication of like bases. For example, n^2 * n^4 * n^5 = n^(2+4+5) = n^11.

Front

What is the product law of exponents?

Back

The product law of exponents states that when multiplying two powers with the same base, you add the exponents. For example, (5^5)(5^3) = 5^(5+3) = 5^8.

Front

What is the simplified form of 2^0?

Back

The simplified form of 2^0 is 1.

Front

If a^m = a^n, what can be concluded about m and n?

Back

If a^m = a^n, then m must equal n, provided that a is not zero.

Front

What happens when you multiply a number by itself raised to a power?

Back

When you multiply a number by itself raised to a power, you add the exponents. For example, x^1 * x^3 = x^(1+3) = x^4.

Front

What is the result of (x^2)^3?

Back

The result of (x^2)^3 is x^(2*3) = x^6.