Check the solution to "How do you simplify (6x2y2)(−xy4)5 leaving only positive..."

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

Edkowiez2x

Answered question

2022-02-03

How do you simplify

(6 x^{2} y^{2}) {(- x y^{4})}^{5}

leaving only positive exponents?

Answer & Explanation

sigcinweq0s

Beginner2022-02-04Added 19 answers

Step 1
$(6 x^{2} y^{2}) \times {(- x y y^{4})}^{5}$
List of Indice Laws
1) $x^{0} = 1$
2) $x^{- n} = \frac{1}{x^{n}}$
3) $x^{n} \times x^{m} = x^{n + m}$
4) $x^{n} \div x^{m} = x^{n - m}$
5) ${(x^{n})}^{m} = x^{n \times m}$
6) $x^{\frac{n}{m}} = \sqrt[m]{x^{n}}$
Step 2
$\Rightarrow (6 x^{2} y^{2}) \times {(- 1)}^{5} \times {(x y^{4})}^{5}$
$\Rightarrow - (6 x^{2} y^{2}) \times {(x y^{4})}^{5}$ as ${(- 1)}^{5} = - 1$
$\Rightarrow - (6 x^{2} y^{2}) \times (x^{5} y^{20})$
$\Rightarrow - (6 x^{2} x^{5} y^{2} y 20)$ Rearranging terms.
$\Rightarrow - 6 x^{2 + 5} \times y^{2 + 20} = (- 6 x^{7} y^{22})$

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Pre-Algebra

Which expression has both 8 and n as factors???
One number is 2 more than 3 times another. Their sum is 22. Find the numbers
8, 14
5, 17
2, 20
4, 18
10, 12
Perform the indicated operation and simplify the result. Leave your answer in factored form
$[\frac{(4 x - 8)}{(- 3 x)}] . [\frac{12}{(12 - 6 x)}]$
An ordered pair set is referred to as a ___?
Please, can u convert 3.16 (6 repeating) to fraction.
Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.
A) $6 - \frac{x}{3} = 2$
B) $\frac{x}{3} - 6 = 2$
C) 3x−6=2
D) $\frac{3}{x} - 6 = 2$
Find: $2.48 \div 4$ .
Multiplication $999 \times 999$ equals.
Solve: (128÷32)÷(−4)=
A) -1
B) 2
C) -4
D) -3
What is $0.78888 ... . .$ converted into a fraction? $(0.7 \bar{8})$
The mixed fraction representation of 7/3 is...
How to write the algebraic expression given: the quotient of 5 plus d and 12 minus w?
Express 200+30+5+4100+71000 as a decimal number and find its hundredths digit.
A)235.47,7
B)235.047,4
C)235.47,4
D)234.057,7
Find four equivalent fractions of the given fraction: $\frac{6}{12}$
How to find the greatest common factor of $80 x^{3}, 30 y x^{2}$ ?

Didn't find what you were looking for?