All Exponents Rules Review

Front

What is the product of powers rule in exponents?

Back

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

Front

How do you simplify the expression (x^a)(x^b)?

Back

You add the exponents: (x^a)(x^b) = x^(a+b).

Front

What is the power of a power rule in exponents?

Back

When raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

How do you simplify the expression (2^3)^4?

Back

You multiply the exponents: (2^3)^4 = 2^(3*4) = 2^12.

Front

What is the quotient of powers rule in exponents?

Back

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

Front

How do you simplify the expression (y^5)/(y^2)?

Back

You subtract the exponents: (y^5)/(y^2) = y^(5-2) = y^3.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the zero power equals 1: a^0 = 1 (where a ≠ 0).

Front

What happens when you raise zero to any positive exponent?

Back

Zero raised to any positive exponent equals zero: 0^n = 0 (where n > 0).

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Front

How do you simplify the expression 5^(-2)?

Back

Using the negative exponent rule: 5^(-2) = 1/(5^2) = 1/25.