Exponent Rules (SImple Laws of Exponents)

Front

What is the rule for raising a product to a power?

Back

When raising a product to a power, apply the exponent to each factor. For example, (xy)^n = x^n * y^n.

Front

Simplify the expression: (x^2y)^5

Back

x^{10}y^5

Front

What does it mean to expand x^5?

Back

It means to write it as x multiplied by itself 5 times: x⋅x⋅x⋅x⋅x.

Front

What is the value of (5^3x^2)^0?

Back

1

Front

When we multiply terms with the same base, we _______ the exponents.

Back

Add

Front

What is the rule for dividing terms with the same base?

Back

When dividing terms with the same base, subtract the exponents. For example, x^a / x^b = x^{a-b}.

Front

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

Back

1

Front

What is the result of x^a * x^b?

Back

x^{a+b}

Front

What is the result of (x^a)^b?

Back

x^{a*b}

Front

What is the rule for raising a quotient to a power?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator. For example, (a/b)^n = a^n / b^n.