Positive Exponents

Front

What is a positive exponent?

Back

A positive exponent indicates how many times a number (the base) is multiplied by itself. For example, 2^3 means 2 x 2 x 2.

Front

What is the product of powers rule?

Back

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

Front

What is the quotient of powers rule?

Back

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

Front

Calculate (3^2)^3.

Back

3^6 (using the power of a power rule).

Front

Calculate 5^4 / 5^2.

Back

5^2 (using the quotient of powers rule).

Front

What is 2^3 x 2^2?

Back

2^5 (using the product of powers rule).

Front

What is the value of 7^0?

Back

1 (any non-zero number raised to the power of zero is 1).

Front

Calculate 4^3 x 4^1.

Back

4^4 (using the product of powers rule).

Front

What is the value of 10^2?

Back

100 (10 multiplied by itself 2 times).