3 in simplest form. Please show your work!
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pumpkin1625
High School
Write (8a^-3)^-4/3 in simplest form.
Please show your work!
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(Based on todays review)
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wegnerkolmp2741o
The simplest form of the given expression
is
and this can be determined by using the arithmetic operations.
Given :
Expression --
The following steps can be used in order to determine the simplest form of the given expression:
Step 1 - The arithmetic operations can be used in order to determine the simplest form of the given expression.
Step 2 - Write the given expression.
Step 3 - Split the above expression.
Step 4 - Now, 8 can be written as
in the above expression.
Step 5 - Simplify the above expression.
Step 6 - Further, simplify the above expression.
For more information, refer to the link given below:
-
keshavgandhi04
Answer:
(a/2) ^4 or a^4/16
Step-by-step explanation:
(8a^-3)^-4/3
split into two parts
8^ -4/3 * (a^-3)^-4/3
using the power to the power rule we can multiply the exponents
8^(-4/3) *a^(-3*-4/3)
8^ (-4/3) * a^(4)
replace 8 with 2^3
(2^3)^(-4/3) * a^(4)
using the power to the power rule we can multiply the exponents
2^(3*-4/3) * a^(4)
2 ^ (-4) * a^4
the negative exponent means it goes in the denominator if it is in the numerator
a^4/2^4
make a fraction
(a/2) ^4
or a^2/16
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