Question

3 times Square of x multiplied with cube of y multiplied by z​

Answer 1

Answer:

The expression you get is

3x²y³z

Step-by-step explanation:

the square of x is, x multiplied to itself "twice"

= x × x

when a same number repeats itself twice in multiplication, we add a small "2" (called an exponent) at its top right:

= x²

3 times the square of x

= 3x²

cube of y

thus is:

y multiplied to itself thrice

= y × y × y

here the same number repeats itself "thrice" in multiplication, so we'll add a small 3 at its top right, as exponent:

= y³

3 times the square of x multiplied with the cube of y:

= (3x²) × (y³)

when the variables being multiplied, we can remove the multiplication sign and write them as one expression.

= 3x²y³

3x²y³ multiplied by z

= (3x²y³) × (z)

= 3x²y³z

This, we call an "expression"— a combination of different variables and numbers.

Hence, the required expression is 3x²y³z

$\mathfrak{ \overline{Hope \: This \: Helps! \: \: }}$