2power3×3power4×4 divide by 3×32
I guess you mean
(2^3 * 3^4 * 4) / (3*32)
since multiplication is commutative, that is
(8*4 * 81)/(3*32) = (32*81)/(32*3) = 81/3 = 27
OR
3⁴ = 3 ∙ 3³
4 = 2²
32 = 2⁵
2³ ∙ 3⁴ ∙ 4 / ( 3 ∙ 32 ) =
2³ ∙ 3 ∙ 3³ ∙ 2² / ( 3 ∙ 2⁵ ) =
2³ ∙ 2² ∙ ( 3 / 3 ) ∙ 3³ / 2⁵ =
2 ⁽ ³ ⁺ ² ⁾ ∙ 1 ∙ 3³ / 2⁵ =
2⁵ ∙ 3³ / 2⁵ =
2⁵ / 2⁵ ∙ 3³ =
1 ∙ 3³ = 3³ = 27
2³ ∙ 3⁴ ∙ 4 / 3 ∙ 32 = 3³ = 27
To solve this problem, let's break it down step by step:
First, let's calculate each individual exponent expression:
- 2^3 means 2 raised to the power of 3, which equals 2 * 2 * 2 = 8.
- 3^4 means 3 raised to the power of 4, which equals 3 * 3 * 3 * 3 = 81.
- 4^2 means 4 raised to the power of 2, which equals 4 * 4 = 16.
- 3^2 means 3 raised to the power of 2, which equals 3 * 3 = 9.
Now, let's substitute the calculated values into the original expression:
8 * 81 * 16 / (3 * 9)
Next, perform the multiplication and division:
8 * 81 * 16 = 103,488
3 * 9 = 27
Now, divide 103,488 by 27:
103,488 / 27 ≈ 3832
Therefore, the expression 2^3 * 3^4 * 4^2 divided by 3^2 is approximately equal to 3832.