Question

How do you simplify ${5^2} - {2^4}$?

Answer 1

Hint: The given number is ${5^2} - {2^4}$ .We find the solution of ${5^2} - {2^4}$
We use the square method and multiplication.
Squaring is the same as rising to the power $2$, and is denoted by a superscript.
First we find the individual value of ${5^2} - {2^4}$
After that we subtract the two terms.
Finally we get the solution.

Complete step-by-step solution:
The given number is ${5^2} - {2^4}$
First we find the individual value.
Let, ${5^2}$
We multiply $5$ in two times, hence we get
$\Rightarrow$${5^2} = 5 \times 5$
Multiply
$\Rightarrow$${5^2} = 25$
Let, ${2^4}$
We multiply $2$ in four times, hence we get
$\Rightarrow$${2^4} = 2 \times 2 \times 2 \times 2$
Multiply
${2^4} = 16$
Now we subtract the two values ${5^2} - {2^4}$, hence we get
${5^2} - {2^4}$
Substitute in the equation
$\Rightarrow$${5^2} - {2^4} = 25 - 16$
Subtract $25$ by $16$, hence we get
$\Rightarrow$${5^2} - {2^4} = 9$

Therefore the value for the given expression is 9.

Note: Let’s remind ourselves some of the important terms used when simplifying an expression:
A variable is a letter whose value is unknown to in algebraic expression.
The coefficient is a numerical value used together with a variable.
A constant is a term that has a definite value.
Like terms are variables with the same letter and power. Like terms can sometimes contain different coefficients. For example, $6{x^2}$ and $5{x^2}$ are like terms because they have the variable with a similar exponent. Similarly, $7yx$ and $5xz$ are unlike terms because each term has different variables.
To simplify any algebraic expression, the following are the basic rules and steps:
Remove any grouping symbol such as brackets and parentheses by multiplying factors.
Use the exponent rule to remove grouping if the terms are containing exponents.
Combine the like terms by addition or subtraction
 Combine the constants.