Rules of Exponents

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents. (a^m • a^n = a^(m+n))

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents. (a^m / a^n = a^(m-n))

Front

What happens when you raise a power to another power?

Back

Multiply the exponents. ((a^m)^n = a^(m*n))

Front

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

Back

1 (a^0 = 1, where a ≠ 0)

Front

What is the value of 0 raised to any positive exponent?

Back

0 (0^n = 0, where n > 0)

Front

What is the value of 1 raised to any exponent?

Back

1 (1^n = 1 for any n)

Front

Simplify: (2^3)²

Back

2^6

Front

Simplify: (x^5)(x^3)

Back

x^8

Front

Simplify: (3^2)(3^4)

Back

3^6

Front

Simplify: (4^5)/(4^2)

Back

4^3