Laws of Exponents

Front

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

Back

1

Front

Simplify the expression: (2^4)(2^5)

Back

2^9

Front

Using the quotient rule, simplify: x^8 / x^3

Back

x^5

Front

Simplify the expression using exponential notation: \frac{a^5b^{12}}{a^4b^9}

Back

ab^3

Front

What is the value of 7x^0?

Back

7

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 quotient of powers rule?

Back

When dividing two powers with the same base, subtract 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 negative exponent rule?

Back

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

Front

What is the zero exponent rule?

Back

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