Question

Evaluate the expression.

a3b2c-1d
Evaluate a2b2c1d
If a = 2, b = 4, C = 10, d = 15
Express your answer
as a reduced fraction.
Please help

Answer 1

Explanation:

for a³b²c-1d

given

a=2

b=4

c=10

d=15

a³b²c-¹d

=(2³4²10^-1*15

=2³4²15/10

=8*16*15/10

=8*8*3

=64*3

=192

now

a³b²c¹d

=(2³4²10 15)

=(8*16*10*15)

=120*16*10

=1200*16

=19200

Answer 2

3/4 if meant
`a=2,b=4,c=10,d=15`

is
`a^3b^(-2)c^(-1)d`

Explanation:

So the expression we want to evaluate for
`a=2,b=4,c=10,d=15`

is
`a^3b^(-2)c^(-1)d`

Please make sure I typed the expression and the values for the letters right.

`a^3b^(-2)c^(-1)d`

Plug in the given values:

`(2)^3(4)^(-2)(10)^(-1)(15)`

In the following step I said 2^3 equals 8 because 2^3 means 2*2*2. I also got rid of the negative exponents by taking reciprocal.

`8 \cdot (1)/(4^2) \cdot (1)/(10^1) (15)`

In the following step I said 4^2=16 because 4^2 means 4*4. I also wrote 10^1 as 10.

`8 \cdot (1)/(16) \cdot (1)/(10) (15)`

In the following step, I'm going to rewrite everything as a fraction if it isn't already a fraction. 8=8/1 and 15=15/1.

`(8)/(1) \cdot (1)/(16) \cdot (1)/(10) \cdot (15)/(1)`

To multiply fractions, you just multiply straight across on top and straight across on bottom.

`(8(1)(1)(15))/(1(16)(10)(1))`

Actually performing the multiplication:

`(120)/(160)`

Time to reduce:

`(12)/(16)` I divided top and bottom by 10 to get this.

One more time for reducing:

`(3)/(4)` I divided top and bottom by 4 to get this.