Question

Simplify the following v^4*v^5*v

Answer 1

v10

Explanation:

v^4*v^5*v=v^10

add exponents when multiplying since we have exponents 4,5, and 1

4+5+1=10

Answer 2

v^10

Explanation:

For this, we need to understand one important rule of exponents. For powers of like bases, you add the exponents when they are being multiplied. With this in mind let's continue.

In this problem, the base is v, each multiplied with different powers. So:

v^4 * v^5 * v = v^(4+5+1) = v^10

So the solution will be v^10.

An additional example would be 2^2 * 2^3.

For this we know it would be 2^2 * 2^3 = 2^(2+3) = 2^5 = 32.

We can verify by simply doing 2 * 2 * 2 * 2 * 2 = 32. Note both are 32, and this example shows the usefulness of exponent rules.

Hope this helps. Cheers.