Evaluate -(2/5)^2*(5/7)^2*49/5+(-4/5)^3*5/4*3/7

Math
-(25)2⋅(57)2⋅495+(-45)3⋅54⋅37
Simplify each term.
Tap for more steps…
Apply the product rule to 25.
-2252⋅(57)2⋅495+(-45)3⋅54⋅37
Raise 2 to the power of 2.
-452⋅(57)2⋅495+(-45)3⋅54⋅37
Raise 5 to the power of 2.
-425⋅(57)2⋅495+(-45)3⋅54⋅37
Apply the product rule to 57.
-425⋅5272⋅495+(-45)3⋅54⋅37
Raise 5 to the power of 2.
-425⋅2572⋅495+(-45)3⋅54⋅37
Raise 7 to the power of 2.
-425⋅2549⋅495+(-45)3⋅54⋅37
Cancel the common factor of 25.
Tap for more steps…
Move the leading negative in -425 into the numerator.
-425⋅2549⋅495+(-45)3⋅54⋅37
Cancel the common factor.
-425⋅2549⋅495+(-45)3⋅54⋅37
Rewrite the expression.
-4⋅149⋅495+(-45)3⋅54⋅37
-4⋅149⋅495+(-45)3⋅54⋅37
Combine -4 and 149.
-449⋅495+(-45)3⋅54⋅37
Cancel the common factor of 49.
Tap for more steps…
Cancel the common factor.
-449⋅495+(-45)3⋅54⋅37
Rewrite the expression.
-4⋅15+(-45)3⋅54⋅37
-4⋅15+(-45)3⋅54⋅37
Combine -4 and 15.
-45+(-45)3⋅54⋅37
Move the negative in front of the fraction.
-45+(-45)3⋅54⋅37
Use the power rule (ab)n=anbn to distribute the exponent.
Tap for more steps…
Apply the product rule to -45.
-45+(-1)3(45)3⋅54⋅37
Apply the product rule to 45.
-45+(-1)34353⋅54⋅37
-45+(-1)34353⋅54⋅37
Raise -1 to the power of 3.
-45-4353⋅54⋅37
Raise 4 to the power of 3.
-45-6453⋅54⋅37
Raise 5 to the power of 3.
-45-64125⋅54⋅37
Cancel the common factor of 4.
Tap for more steps…
Move the leading negative in -64125 into the numerator.
-45+-64125⋅54⋅37
Factor 4 out of -64.
-45+4(-16)125⋅54⋅37
Cancel the common factor.
-45+4⋅-16125⋅54⋅37
Rewrite the expression.
-45+-16125⋅5⋅37
-45+-16125⋅5⋅37
Cancel the common factor of 5.
Tap for more steps…
Factor 5 out of 125.
-45+-165(25)⋅5⋅37
Cancel the common factor.
-45+-165⋅25⋅5⋅37
Rewrite the expression.
-45+-1625⋅37
-45+-1625⋅37
Move the negative in front of the fraction.
-45-1625⋅37
Multiply -1625⋅37.
Tap for more steps…
Multiply 37 and 1625.
-45-3⋅167⋅25
Multiply 3 by 16.
-45-487⋅25
Multiply 7 by 25.
-45-48175
-45-48175
-45-48175
To write -45 as a fraction with a common denominator, multiply by 3535.
-45⋅3535-48175
Write each expression with a common denominator of 175, by multiplying each by an appropriate factor of 1.
Tap for more steps…
Multiply 45 and 3535.
-4⋅355⋅35-48175
Multiply 5 by 35.
-4⋅35175-48175
-4⋅35175-48175
Combine the numerators over the common denominator.
-4⋅35-48175
Simplify the numerator.
Tap for more steps…
Multiply -4 by 35.
-140-48175
Subtract 48 from -140.
-188175
-188175
Move the negative in front of the fraction.
-188175
The result can be shown in multiple forms.
Exact Form:
-188175
Decimal Form:
-1.07428571…
Mixed Number Form:
-113175
Evaluate -(2/5)^2*(5/7)^2*49/5+(-4/5)^3*5/4*3/7

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top