Question

Write a number equivalent to each of the following

A) 4*3^4
B)10^3*4^2
C)(-3)^2*(-4)^3
D)(-8)*(-3)^4*(-2)^3

Answer 1

The required equivalent numbers are

A)
`\bold{4 * 3^(4)=324}`

B)
`\bold{10^(3) * 4^(2)=16000}`

C)
`\bold{(-3)^(2) *(-4)^(3)=-576}`

D)
`\bold{(-8) *(-3)^(4) *(-2)^(3)=5184}`

SOLUTION:

Given that, we have to write a number equivalent to each of the following

A)
`4 * 3^(4)`

On solving we get,

`4 * 3^(4) \rightarrow 4 * 34 \rightarrow 4 * 81 \rightarrow 324`

B)
`10^(3) * 4^(2)`

On solving we get,

`10^(3) * 4^(2) \rightarrow 103 * 42 \rightarrow 1000 * 16 \rightarrow 16000`

C)
`(-3)^(2) *(-4)^(3)`

On solving we get,

`(-3)^(2) *(-4)^(3) \rightarrow(-3)^(2) *(-4)^(3) \rightarrow 9 *(-64) \rightarrow-576`

D)
`(-8) *(-3)^(4) *(-2)^(3)`

On solving we get,

`(-8) *(-3)^(4) *(-2)^(3) \rightarrow(-8) *(-3)^(4) *(-2)^(3) \rightarrow-8 * 81 *(-8) \rightarrow 64 * 81 \rightarrow 5184`