How to multiply two exponents when they do not have same base and fraction powers

The video tutorial explains how to handle expressions with exponents, particularly when the bases are different. It starts by setting up a problem involving exponents and discusses why certain exponent rules cannot be applied when bases differ. The instructor then explores methods to rewrite expressions, either by converting them to the same base or using radical form. The tutorial concludes with solving the expression using radical form, demonstrating the process step-by-step.

Why can't you add the exponents when the bases are different?

• Because the exponents are not integers

• Because the bases are prime numbers

• Because the exponents are negative

• Because the bases must be the same to add exponents

What is one method to handle numbers with different bases raised to fractional powers?

• Rewrite them with the same base

• Ignore the bases

• Convert them to decimal form

• Add the exponents directly

What is the radical form of 3 to the 1/3?

• Cube root of 3

• Square root of 3

• Fifth root of 3

• Fourth root of 3

What must be the same when multiplying radicals?

• The coefficients

• The indices

• The bases

• The exponents

What is the result of multiplying the cube root of 3 and the cube root of 9?

• Cube root of 18

• Cube root of 27

• Cube root of 36

• Cube root of 12