Simplify x^3 * x^4 Easy

The question

Question: simplify (x³)(x⁴).

Brackets next to each other mean times.

1 Count the letters

A power tells how many times the letter is multiplied.

x³ is 3 x's.

x⁴ is 4 x's.

Together that is 7 x's.

So the rule is: same letter, times, add the powers.

3 plus 4 is 7.

So we get x⁷.

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Simplify 3x^2 * 4x^5 Medium

The question

Question: simplify (3x²)(4x⁵).

Brackets next to each other mean times.

1 Numbers with numbers

In times, the order does not matter.

So numbers go with numbers, and each letter goes with the same letter.

We put them in groups.

2 Count the letters

A power tells how many times the letter is multiplied.

x² is 2 x's.

x⁵ is 5 x's.

Together that is 7 x's.

So the rule is: same letter, times, add the powers.

2 plus 5 is 7.

3 times 4 is 12.

So we get 12x⁷.

Let's look back.

First: numbers with numbers.

Last: count the letters.

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Simplify (2x^2)^3 * x^4 Harder

The question

Question: simplify (2x²)³(x⁴).

1 Write the power out

The power 3 outside the bracket means: the whole bracket, 3 times.

So we write the bracket out, times itself.

2 Numbers with numbers

In times, the order does not matter.

So numbers go with numbers, and each letter goes with the same letter.

We put them in groups.

3 Count the letters

So the rule is: same letter, times, add the powers.

2 plus 2 plus 2 plus 4 is 10.

2 times 2 times 2 is 8.

So we get 8x¹⁰.

Let's look back.

First: write the power out.

Then: numbers with numbers.

Last: count the letters.

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