Exponent Rule Quizs

If you see.... @@m^2 \cdot m^6@@ What should you do?

• Add the exponents, leave the base

• Multiply the exponents and keep the base

• Subtract the exponents, leave the base

• Add the bases, leave the exponents

If you see.... @@m^2 \cdot n^6\cdot m^3@@ What should you do?

• Add exponents that have the SAME base only, leave other bases alone

• Add all exponents regardless of the base

• Multiply the coefficients and add the exponents

• Subtract the exponents of different bases

If a base has a negative exponent what should you do?

• Flip the base and exponent from the opposite position in a fraction

• Leave the base as it is

• Multiply the base by itself

• Add one to the exponent

If you see.... @@\left(\frac{m^8}{m^3}\right)^2@@ What should you do?

• Distribute the outside exponent inside to every base inside (top and bottom)

• Multiply the exponents of the numerator and denominator

• Add the exponents of the numerator and denominator

• Ignore the exponent and simplify the fraction

What if the base is different but the exponent is the same?

• @@30^2@@

• @@11^2@@

• @@25^2@@

• @@36^2@@

If you see.... @@\left(m^2\ \right)^6@@ What should you do?

• Add the exponents to get @@m^{8}@@

• Multiply the exponent, keep the same base

• Subtract the exponents to get @@m^{4}@@

• Divide the exponent by the base to get @@m^{3}@@

• 4

• 5

• 6

• 7

Only leave positive exponents

• @@\frac{3^2 \cdot 3^3}{4^2}@@

• @@\frac{3^2 \cdot 4^2}{3^{-3}}@@

• @@\frac{3^5}{4^3}@@

• @@\frac{3^4}{4^2}@@

If you see.... @@\frac{m^8}{m^3}@@ What should you do?

• Add the exponents and keep the same base

• Subtract the exponent, keep the same base

• Multiply the exponents and keep the same base

• Divide the exponents and change the base