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Aleks04 [339]
3 years ago
11

Simplify. Write answer with positive exponents.8^3⋅8^5

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Step-by-step explanation:

By Law of Indices, a^m * a^n = a^(m+n).

Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.

You might be interested in
Un padre tiene actualmente cuatro veces la edad de su hijo. Cuando pasen 5 años, su edad será solo tres veces superior. ¿Qué eda
julsineya [31]

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

  • Sea la edad del padre P.
  • Sea la edad del hijo h.

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

<em>h = 10 años </em>

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

<em>P = 40 años</em>

4 0
3 years ago
A shopkeeper buys pens at the rate of ₹ 75 per 100. for how much should he sell each pen so as to make a gain of 15%? please hel
Lady bird [3.3K]

Answer:

He should sell each pen of Rs.0.8625 so as to make a gain of 15%

Step-by-step explanation:

  • Cost price of 100 pens = Rs.75
  • Cost price of 1 pen=\frac{75}{100} = 0.75
  • Gain%= 15%

Gain=15%X 0.75= 0.1125

SP = CP+Gain = 0.75+0.1125=0.8625

<u>So, He should sell each pen of Rs.0.8625 so as to make a gain of 15%</u>

#Learn more:

By selling 60 pens a shopkeeper gain the cp of 15 pen. If he bought 20 pens in rs36. Find the sp of one pen

brainly.in/question/15083989

https://brainly.in/question/7469007

3 0
3 years ago
On a blueprint, the scale indicates that 8 cm represent 16 feet. What is the length of a room that is 8.8 cm long and 3 cm wide
lana [24]
For the answer to the question above asking wWhat is the length of a room that is 8.8 cm long and 3 cm wide on the blueprint if <span>a blueprint, the scale indicates that 8 cm represent 16 feet?
</span>The room is 22.4 feet long

8cm=16ft
9.8cm=?ft

  8cm       9.8cm
______=______
  16ft          x ft

Cross multiply
8x=156.8
divide both sides by 8
x=19.6 ft
4 0
3 years ago
Consider the following system of equations.
Katena32 [7]

D.)  "The graphs of the equations intersect each other at two places."

8 0
3 years ago
Rigo and Ian went shopping for soccer cleats and practice uniforms. Rigo spent $451, before taxes, and purchased three uniforms
yan [13]

Answer:

The price of uniform U= $145

price of each pair of cleats C= $16

Step-by-step explanation:

Let:

The Price of Each Uniform = U

The Price of Each Pair of Cleats = C

Rigo spent $451, before taxes, and purchased three uniforms and one pair of cleats.

→ Equation A

Ian spent $757, before taxes, and purchased five uniforms and two pair of cleats.

→ Equation B

Let's calculate → 2(Equation A) - (Equation B)

2(3U+C)-(5U+2C)= 2(451) -757

6U+2C-5U-2C= 145

U=$ 145

3U+C= 451

3(145)+C= 451

C= 451-435

C= $16

3 0
3 years ago
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