Simplifying Exponents

What is the value of @@x^0@@ for any non-zero x?

• 0

• 1

• x

• undefined

What is @@a^m \times a^n@@?

• @@a^{m+n}@@ (Add the exponents)

• @@a^{m-n}@@ (Subtract the exponents)

• @@a^{mn}@@ (Multiply the exponents)

• @@a^{m/n}@@ (Divide the exponents)

Simplify @@x^3y^2x^5@@.

• @@x^8y^2@@

• @@x^6y^2@@

• @@x^5y^3@@

• @@x^9y^2@@

What is @@3x^0@@?

• @@0@@

• @@1@@

• @@3@@

• @@x@@

What is @@\frac{a^m}{a^n}@@?

• @@a^{m-n}@@ (Subtract the exponents)

• @@a^{m+n}@@ (Add the exponents)

• @@a^{m/n}@@ (Divide the exponents)

• @@a^{mn}@@ (Multiply the exponents)

What is @@x^m \times x^n@@?

• @@x^{m+n}@@ (Add the exponents)

• @@x^{m-n}@@ (Subtract the exponents)

• @@x^{mn}@@ (Multiply the exponents)

• @@x^{m/n}@@ (Divide the exponents)

What is @@a^m \times b^m@@?

• @@(ab)^m@@ (Distributive property of exponents)

• @@a^{m+b}@@ (Sum of exponents)

• @@a^m \cdot b^m@@ (Product of powers)

• @@(a^m)(b^m)@@ (Power of a product)

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

• subtract

• multiply

• add

• divide