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Simplify the expression $\left(a\cdot a^2\right)^2a^5$

Step-by-step Solution

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Final Answer

$a^{11}$
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Step-by-step Solution

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When multiplying exponents with same base you can add the exponents: $a\cdot a^2$

$\left(a^{3}\right)^2a^5$

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

$\left(a^{3}\right)^2a^5$

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Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (aa^2)^2a^5. When multiplying exponents with same base you can add the exponents: a\cdot a^2. Simplify \left(a^{3}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Multiply 3 times 2. When multiplying exponents with same base we can add the exponents.

Final Answer

$a^{11}$

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

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Function Plot

Plotting: $a^{11}$

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5
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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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