Law of Exponents

Front

Which number is the BASE in the expression 2^3 = 8?

Back

2

Front

What is the exponential form of 4 x 4 x 4 x 4 x 4 x 4?

Back

4^6

Front

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

Back

1/x^6

Front

Expand x^5.

Back

x⋅x⋅x⋅x⋅x

Front

What is the value of (5^2)^3?

Back

15,625

Front

Define the Law of Exponents.

Back

The Law of Exponents states how to handle mathematical operations involving powers or exponents.

Front

What is the product of powers rule?

Back

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

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

What is the negative exponent rule?

Back

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