Question

(3/xy^2)^-3 simplify?

Answer 1

Step by step solution :

Step 1 :

Raise (2xy) to the 3rd power
Exponentiaion :

Equation at the end of step 1 :

((3x • (y2)) • 4xy) • 23x3y3
Step 2 :

Raise y to the 2nd power
Exponentiaion :

Equation at the end of step 2 :

((3x • y2) • 4xy) • 23x3y3
Step 3 :

Multiply 3xy2 by 4xy
Multiplying exponential expressions :

3.1 x1 multiplied by x1 = x(1 + 1) = x2

Multiplying exponential expressions :

3.2 y2 multiplied by y1 = y(2 + 1) = y3

Equation at the end of step 3 :

(3•22x2y3) • 23x3y3
Step 4 :

Multiply (3•22x2y3) by 23x3y3
Multiplying exponential expressions :

4.1 x2 multiplied by x3 = x(2 + 3) = x5

Multiplying exponential expressions :

4.2 y3 multiplied by y3 = y(3 + 3) = y6

Multiplying exponents :

4.3 22 multiplied by 23 = 2(2 + 3) = 25