Law of Exponents

Front

What is the Law of Exponents?

Back

The Law of Exponents refers to the rules that govern the operations of powers and exponents in mathematics.

Front

What does a negative exponent indicate?

Back

A negative exponent indicates that the base should be taken as the reciprocal raised to the opposite positive exponent.

Front

Simplify: 9^-3

Back

1/9^3

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

Back

Any non-zero number raised to the power of 0 is equal to 1.

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^13

Front

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

Back

1/x^6

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 quotient of powers rule?

Back

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