Question

Найдите значение выражения (3a^2)^3*(4b)^2 / (12a^3b)^2

Answer 1

$\frac{(3a^{2})^{3}*(4b)^{2}}{(12a^{3}b)^{2}}= \frac{27a^{6}*16b^{2}}{144a^{6}b^{2}}= \frac{432}{144}=3$

Answer 2

I can help you with math problems. To find the value of the expression, we need to simplify it first. Here are the steps:

- Rewrite the expression using the power of a product rule: $(3a^2)^3*(4b)^2/(12a^3b)^2 = 3^3*(a^2)^3*4^2*(b^2)^1/(12^1*(a^3)^1*(b^2)^1)$ - Simplify the expression by multiplying the exponents: $3^3*(a^2)^3*4^2*(b^2)^1/(12^1*(a^3)^1*(b^2)^1) = 27a^6*16b^2/(12a^3b^2)$ - Reduce the expression by dividing the common factors: $27a^6*16b^2/(12a^3b^2) = 9a^3*4/3$ - Simplify the fraction by dividing by 3: $9a^3*4/3 = 3a^3*4$

The final answer is $3a^3*4$. You can check your answer using an online calculator or a simplify calculator.

If you need more help with algebra, you can find some useful resources and examples here or here.

: Equation Solver - Mathway : Simplify Calculator - Mathway : 1.Найдите значение выражения: (а+4) (2-а²)- (3а+4) (4-а)при а=2 2 ... : Математика 4,5,6,7,8,9,10,11 класс, ЕГЭ, ГИА