Question

56x³y⁴/z⁵•(-z⁴/16x²y⁶)=

Answer 1

Объяснение:

$\frac{56 {x}^{3} {y}^{4} }{ {z}^{5} } \cdot \frac{ - {z}^{4} }{16 {x}^{2} {y}^{6} } = - \frac{56 {x}^{3} {y}^{4} {z}^{4}}{16 {x}^{2} {y}^{6}z^{5} } = \\ = \frac{7 \cdot \cancel8 \: {{x}^{\cancel3^1}}\cancel{{y}^{4}} \cancel{{z}^{4}}}{2 \cdot \cancel8 \cancel{ {x}^{2}} {y}^{\cancel6^2}z^{\cancel5^1} } = \frac{7x}{2y^2z}$

Answer 2

To simplify the given expression, let's break it down step by step:

Expression: (56x³y⁴/z⁵) • (-z⁴/16x²y⁶)

Step 1: Simplify each part of the expression separately.

1. (56x³y⁴/z⁵) simplifies to 56x³y⁴z⁻⁵ (using negative exponent property).
2. (-z⁴/16x²y⁶) remains the same.

So, the expression becomes: 56x³y⁴z⁻⁵ • (-z⁴/16x²y⁶)

Step 2: Multiply the two simplified expressions.

(56x³y⁴z⁻⁵) • (-z⁴/16x²y⁶) = (56 * -1) * (x³ * -z⁴) * (y⁴ * 1) * (z⁻⁵ * -1) * (1/16) * (1/x²) * (1/y⁶)

Simplify the coefficients and the variables:

-56x³y⁴z⁻⁵z⁴/16x²y⁶ = -56x^(3-2)y^(4-6)z^(-5+4)/16

Simplify the exponents and coefficients further:

-56x*y^(-2)z^(-1)/16 = -7xy^(-2)z^(-1)/2

So, the simplified expression is: -7xy^(-2)z^(-1)/2