Exponent Review Power of Power, Power of Product, Quotient Rule

Front

What is an exponent?

Back

An exponent is a number that shows how many times the base is multiplied by itself.

Front

What is the base in the expression 5^3?

Back

The base is 5.

Front

Simplify the expression: (2^3) * (2^4)

Back

2^(3+4) = 2^7.

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

Simplify the expression: (x^2)^3

Back

x^(2*3) = x^6.

Front

What is the Power of a Product rule?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

Simplify the expression: (3x)^2

Back

(3^2)(x^2) = 9x^2.

Front

What is the Quotient Rule?

Back

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

Front

Simplify the expression: x^5 / x^2

Back

x^(5-2) = x^3.

Front

What is the value of 4^0?

Back

Any non-zero number raised to the power of 0 is 1, so 4^0 = 1.