Question

simplify 3gh² x 4g³h³
please write explanation to ​

Answer 1

Step-by-step explanation:

3gh² x 4g³h³

12g^4h^5

this is answer

Answer 2

3gh² × 4g³h³

12g⁴h⁵

let's take a numerical example

2³ × 2²

any number raised to power some number means that the number is multiplied that many times.

2³ means 2 × 2 × 2

so here there are 2 numbers with different powers

there's a exponent law that :

${a}^{m} \times {a}^{n} = {a}^{m + n}$

2³ × 2²

= 2 × 2 × 2 × 2 × 2

= 32

now let us apply the exponent law

2³ × 2²

${2}^{2 + 3}$

2⁵

2⁵ = 2 × 2 × 2 × 2 × 2

= 32.

hence, 2² × 2³ = 2⁵

that same law is applied here

hence the answer 12g⁴h⁵ (we are multiplying 3 × 4 to get 12)

as :

3gh² × 4g³h³

= 3 × g × h × h × 4 × g × g × g × h × h × h

= 12g⁴h⁵

hope it helps

have a great day