Simplify x^3 * x^4

Step by step, with the reason for every step · Exponent rules · Algebra 1

Step by step

Question: simplify (x³)(x⁴).

Brackets next to each other mean times.

(x³)(x⁴)

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.

x³ x⁴ = (xxx)(xxxx) = x⁷

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

3 plus 4 is 7.

3 + 4 = 7

x^a x^b = x^{a + b}

So we get x⁷.

= x⁷

Answer

= x⁷

Try this one yourself, then check:

Simplify (x²)(x³)

Show the answer

x⁵