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Factor the expression $-30m^{\left(3x-3\right)}m^{\left(2x+4\right)}$

Step-by-step Solution

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Final answer to the problem

$-30m^{\left(5x+1\right)}$
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Step-by-step Solution

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Apply the exponent property of product of powers: $x^a\cdot x^b=x^{a+b}$

$-30m^{\left(3x-3+2x+4\right)}$

Learn how to solve factor problems step by step online.

$-30m^{\left(3x-3+2x+4\right)}$

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Learn how to solve factor problems step by step online. Factor the expression m^(3x-3)-30m^(2x+4). Apply the exponent property of product of powers: x^a\cdot x^b=x^{a+b}. Subtract the values 4 and -3. Combining like terms 3x and 2x.

Final answer to the problem

$-30m^{\left(5x+1\right)}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactor by completing the squareFind the integralFind the derivativeFind m^(3x-3)-30 using the definitionSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $-30m^{\left(5x+1\right)}$

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1
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4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Factor

Factor the expression.

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