Question

Simplify the expression

Answer 1

`2*2^1^/^4`

(2.37841)

Step-by-step explanation:

3/4 + 1/2 = 1 + 1/4

=
`2*2^1^/^4`

(
`2^1^/^4 = 1.189207115`)

(2)(1.189207115) = 2.37841423001

Answer 2

`2*2^1^/^4`

(≈2.378)

Step-by-step explanation:

we know that:

`a^x*a^y=a^x^+^y`

[this is the same as multiplying any exponents]

3/4 + 1/2 = 1 + 1/4

if [
`a^x*a^y=a^x^+^y`], then [
`a^x^+^y=a^x*a^y`] must also be true

so,

`2^1^+^1^/^4=2^1*2^1^/^4\\`

=
`2*2^1^/^4`

(
`2^1^/^4 = 1.189207115`)

1.189207115 · 2 = 2.37841423001

(rounded to 2.378)