Equivalent Exponential Expressions

What is an equivalent expression for @@\frac{1}{8}@@?

• @@2^{-3}@@

• @@\frac{1}{2^3}@@

• @@\frac{1}{4}@@

• @@2^{-2}@@

What is the equivalent expression for @@\frac{1}{x^3}@@?

• @@x^{-3}@@

• @@\frac{1}{x^2}@@

• @@x^{3}@@

• @@\frac{1}{x^4}@@

What is the power of a power property?

• @@ ext{ig}(a^m)^{n} = a^{m imes n}@@

• @@a^{m+n}@@

• @@(a^m)^n = a^{m+n}@@

• @@(a^m)^n = a^{m/n}@@

What is the product of two exponential expressions with the same base?

• @@a^{m+n}@@

• @@a^{m-n}@@

• @@a^{m imes n}@@

• @@a^{m/n}@@

Define an exponential expression.

• An expression in the form @@a^b@@ where @@a@@ is a base and @@b@@ is an exponent.

• A mathematical operation involving addition and subtraction.

• A type of polynomial expression with multiple variables.

• An equation that represents a straight line.

What is an equivalent expression for @@\frac{1}{x^{10}}@@?

• @@(x^{-2})^{5}@@

• @@(x^{-5})^{2}@@

• @@(x^{-10})^{1}@@

• @@(x^{-1})^{10}@@

What is an equivalent expression for @@x^{12}@@?

• @@rac{x^4}{x^{-8}}@@

• @@x^{20}@@

• @@x^{4} imes x^{8}@@

• @@x^{12} imes x^{0}@@

What is the quotient of two exponential expressions with the same base?

• @@rac{a^m}{a^n} = a^{m-n}@@

• @@a^{m+n}@@

• @@a^{m imes n}@@

• @@a^{m/n}@@

What is the zero exponent rule?

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

• Any number raised to the power of zero equals zero.

• Any non-zero base raised to the power of one equals zero.

• Any non-zero base raised to the power of zero equals the base itself.