Question

5х^2•у^3=8 найдите 1)45х^4•у^6 2)3х^2•у^3

Answer 1

если 5х^2•у^3=8, то найдите

1) 45х^4•у^6= $45(x^{2} )^2*(y^{3} )^2 = \frac{45}{25} *(5*x^{2} y^{3})} ^2 = \frac{45}{25} * 8 = \frac{360}{25} = 14.4$

2) $3x^{2} *y^{3} = \frac{3}{5} *5* x^{2} y^{3}=\frac{3}{5} * 8 = \frac{24}{5} = 4.8$

Answer 2

To find the values of the expressions, we'll need to use the given equation and perform the necessary calculations. Let's solve both parts:

Given equation: 5x^2 • y^3 = 8

1. To find 45x^4 • y^6, we can square the left side of the equation and then multiply by 9.

Step 1: Square the left side of the equation: (5x^2 • y^3)^2 = (8)^2 25x^4 • y^6 = 64

Step 2: Multiply the result by 9: 9 * (25x^4 • y^6) = 9 * 64 225x^4 • y^6 = 576

So, the value of 45x^4 • y^6 is 576.

2. To find 3x^2 • y^3, we can divide both sides of the original equation by 5.

Step 1: Divide the equation by 5: (5x^2 • y^3) / 5 = 8 / 5 x^2 • y^3 = 8/5

Step 2: Multiply the result by 3: 3 * (x^2 • y^3) = 3 * (8/5) 3x^2 • y^3 = 24/5

So, the value of 3x^2 • y^3 is 24/5 or 4.8.