Which expression is equivalent to 6–3?
–63
36
RootIndex 3 StartRoot 6 EndRoot
(One-sixth) cubed ( D )

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Which expression is equivalent to ?

A) –63

B) 36

C)

D)

The equivalent of is

Step-by-step explanation:

Given

Expression:

Required:

Find the Equivalent Expression

To find the equivalent of this expression, we make use of law of indices.

One of the laws of indices states that

If we apply this law to the expression above ()

By comparison a = 6 and b = 3.

So, becomes

=

Simplifying further;

=

This can also be written as

=

By splitting the above expression; we have that

=

Multiplication law of indices states that;

a * a * a = a³. (Because they have the same base of a)

So, can then be written as

Hence,   =

So, the equivalent of is

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: