Simplify the product of powers $33^3\cdot 3^4$

Step-by-step Solution

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Final answer to the problem

$6561$
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Step-by-step Solution

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The product of powers of the same base is equal to the base raised to the sum of the exponents: $a^m\cdot a^n=a^{m+n}$

$3^{\left(3+1\right)}\cdot 3^4$

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Learn how to solve multiply powers of same base problems step by step online. Simplify the product of powers 3^3*3^4*3. The product of powers of the same base is equal to the base raised to the sum of the exponents: a^m\cdot a^n=a^{m+n}. Add the values 3 and 1. When multiplying two powers that have the same base (3^{4}), you can add the exponents. Simplify \left(3^{4}\right)^2 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 2.

Final answer to the problem

$6561$

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1
2
3
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

How to improve your answer:

Main Topic: Multiply powers of same base

When multiplying powers of same base we can add the exponents.

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