Question

simply 24x power4 ÷ 4x​

Answer 1

Answer:

.

x2 + x2 = 2x2

How about this expression?

3y4 + 2y4

You're adding 3y to 2y. Since 3 + 2 is 5, that means that 3y4 + 2y4 = 5y4.

3y4 + 2y4 = 5y4

x3 ⋅ x4

The powers are 3 and 4. Because 3 + 4 is 7, we can simplify this expression to x7.

x3 ⋅ x4 = x7

What about this expression?

3x2 ⋅ 2x6

⋅2 is 6, so our simplified answer is 6x8.

3x2 ⋅ 2x6 = 6x8

Take this expression:

x8 / x2

Because 8 - 2 is 6, we know that x8/x2 is x6.

x8 / x2 = x6

What about this one?

10x4 / 2x2

If you think the answer is 5x2, you’re right! 10 / 2 gives us a coefficient of 5, and subtracting the powers (4 - 2) means the power is 2.

Raising a power to a power

Sometimes you might see an equation like this:

(x5)3

x5⋅x5

To multiply exponents with the same base, simply add the exponents. Therefore, x5⋅x5⋅x5 = x5+5+5 = x15.

There's actually an even shorter way to simplify expressions like this. Take another look at this equation:

(x5)3 = x12

Let's look at one more example:

(x6)4

Since 6⋅4 = 24, (x6)4 = x24

x24

Let's look at one more example:

(3x8)4

First, we can rewrite this as:

3x8⋅3x8⋅3x8⋅3x8

Remember in multiplication, order does not matter. Therefore, we can rewrite this again as:

3⋅3⋅3⋅3⋅x8⋅x8⋅x8⋅x8

Since 3⋅3⋅3⋅3 = 81 and x8⋅x8⋅x8⋅x8 = x32, our answer is:

81x32

Notice this would have also been th