Question

Express 3×3×3×3×...........×3 (10 factors)in exponential form

Answer 1

Answer:

30

Step-by-step explanation:

10 multiply by 3

= 30

FACTORS OF 10 SO IT MEANS 10 MULTIPLY BY

= 30

Answer 2

3×3×3×3×...........×3 = $\mathbf{3^{10}}$

Step-by-step explanation:

Given data

• 3×3×3×3×3×3×3×3×3×3

• Consider two-two factors of 3.We know that 3×3 =3²

        ⇒3²×3²×3²×3²×3²

• We know that exponent will added on multiplication if base is same

        ⇒$\mathbf{3^{2+2+2+2+2}}$

        ∴ $\mathbf{3^{10}}$

• We can write this

        $\mathbf{3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3 = 3^{1+1+1+1++1+1+1+1+1+1}}$

• Above can also be written as

        $\mathbf{3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3\times 3 = 3^{10}}$