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2 years ago

Simplify the expression below. 4^5 x 4^3

Mathematics

2 answers:

BartSMP [9]2 years ago

4 0

Answer:

4^8

Step-by-step explanation:

Because both expressions have the same base, we can add the exponents to simplify the expression:

$4^5*4^3 = 4^{5+3} = 4^8$

elena-s [515]2 years ago

3 0

Answer: 4^8 or 65,536

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents.

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Find the area of the shape shown<br> below.

Allisa [31]

Answer:

The area of the figure is 28 units².

Step-by-step explanation:

Find the area of the full rectangle, ignoring the triangle.

$a = lw \\ a = 4 \times 8 = 32$

Then, find the area of the triangle:

$a = \frac{bh}{2} \\ a = \frac{2 \times 4}{2} \\ a = 4$

Finally, subtract:

$32 - 4 = 28$

7 0

2 years ago

the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?

ivanzaharov [21]

Answer:

let the larger and smaller number be x and y respectively

first condition

x + y = 49

second condition

3x = 2y+97

3x-2y =97

Multiplying first condition by two and adding both equations

2x + 2y = 98

5x = 195

x = 195/5 = 39

putting the value of x in

x + y = 49

y = 49 -39 = 10

again

Step-by-step explanation:

3 0

2 years ago

A 12-kg bag of mangoes costs $9.00

Nookie1986 [14]

Answer:

I think it would be around $1.33 for each kg

Step-by-step explanation:

You would divide 12 by 9. Once you do that, you get 1.33

6 0

2 years ago

a pyramid with a square base that is 9 cm on a side has a height of 10 cm the volume of the pyramid is

Zanzabum

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\[-0.5em]
\hrulefill\\
B=\stackrel{9\times 9}{81}\\
h=10
\end{cases}\implies V=\cfrac{1}{3}(81)(10)\implies V=270$

4 0

3 years ago

An area of 18 square feet that is 6 feet long and 3 feet wide. A rug covered 1/3 square foot tiles. How many tiles will the rug

Shkiper50 [21]

Answer:

The number of tiles the rug will cover is 54 tiles

Step-by-step explanation:

Here we have,

Total area covered by the rug = 18 ft²

Size of one tile = 1/3 ft²

Therefore the number of tiles that can fit into the the area is given by;

Total area of the rug ÷ Area of one tile

= 18 ft² ÷ 1/3 ft²

Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows

= 18 × 3/1 ft²/ft² = 54 tiles

The number of tiles the rug will cover = 54 tiles.

5 0

2 years ago

Read 2 more answers