Applying Combined Exponents Rules: Worded problems

Examples with solutions for Applying Combined Exponents Rules: Worded problems

In the figure in front of you there are 3 squares

Write down the area of the shape in potential notation

Using the formula for the area of a square whose side is b:

$S=b^2$ In the picture, we are presented with three squares whose sides from left to right have a length of 6, 3, and 4 respectively:

Therefore the areas are:

$S_1=3^2,\hspace{4pt}S_2=6^2,\hspace{4pt}S_3=4^2$ square units respectively,

Consequently the total area of the shape, composed of the three squares, is as follows:

$S_{\text{total}}=S_1+S_2+S_3=3^2+6^2+4^2$ square units

To conclude, we recognise through the rules of substitution and addition that the correct answer is answer C.

$6^2+4^2+3^2$

At the vertices of a square with sides measuring y cm, 4 squares are drawn with lengths of x cm.

What is the area of the shape?

$4x^2+y^2$

If we increase the side of a cube by 6, how many times will the volume of the cube increase?

$6^3$