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Simplify the expression $5x^2\sqrt{16x^4}$

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Final Answer

$20x^{4}$
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Step-by-step Solution

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The power of a product is equal to the product of it's factors raised to the same power

$5x^2\sqrt{16}\sqrt{x^4}$

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

$5x^2\sqrt{16}\sqrt{x^4}$

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Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression 5x^2(16x^4)^1/2. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt{16}. Simplify \sqrt{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Multiply 4 times \frac{1}{2}.

Final Answer

$20x^{4}$

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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 5x^2 using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $20x^{4}$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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