H + 54 = 4 {}^(2) - 16 / 4 Value of h = ???​

Question

`h + 54 = 4 {}^(2) - 16 / 4`

Value of h = ???​

Answer 1

`\sf \: h = - 42`

Explanation:

Given equation,

→ h + 54 = 4² - 16 ÷ 4

Now the value of h will be,

→ h + 54 = 4² - 16 ÷ 4

→ h + 54 = 16 - 4

→ h + 54 = 12

→ h = 12 - 54

→ [ h = -42 ]

Hence, value of h is -42.

Answer 2

`h = -42`

Explanation:

First, subtract 54 from both sides.

`h = 4^2 - 16 / 4 - 54`

Then, evaluate the right-hand expression using the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

We'll first evaluate the exponent in 4²:

`4^2 = 4 * 4 = 16`

`h = 16 - 16 / 4 - 54`

Next, we can evaluate the division:

`16 / 4 = 4`

`h = 16 - 4 - 54`

Finally, perform the subtraction.

`16 - 4 - 54 = -42`

`h = -42`