Laws of Exponents

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the quotient of powers rule in exponents?

Back

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

Front

What happens when you raise a power to a power?

Back

When raising a power to another power, multiply the exponents. For example, (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. For example, a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^-n = 1/a^n.

Front

Simplify: (x^2y)^5

Back

x^10y^5

Front

According to exponent rules, when we multiply the same base we _______ the exponents.

Back

Add

Front

According to exponent rules, when we divide the expressions we _______ the exponents.

Back

Subtract

Front

According to exponent rules, when we raise the coefficients to a power we _______ the exponents.

Back

Multiply

Front

Simplify: xy^-7

Back

x/y^7