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Simplify the expression $-\frac{1}{2}\left(2x\right)^{\frac{1\cdot -3}{2}}$

Step-by-step Solution

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Final Answer

$\frac{-1}{5.6569x^{\frac{3}{2}}}$
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Step-by-step Solution

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Multiply $1$ times $-3$

$-0.5\left(2x\right)^{-\frac{3}{2}}$

Learn how to solve simplification of algebraic expressions problems step by step online.

$-0.5\left(2x\right)^{-\frac{3}{2}}$

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Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression -1/2(2x)^((1*-3)/2). Multiply 1 times -3. Divide -3 by 2. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\frac{-1}{5.6569x^{\frac{3}{2}}}$

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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

SimplifyWrite in simplest formFactorFactor by completing the squareFind the integralFind the derivativeFind -0.52x^(1-3/2) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{-1}{5.6569x^{\frac{3}{2}}}$

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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: Simplification of algebraic expressions

The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.

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