mya9859

17.02.2021 •

Mathematics

On Monday, the baker makes 35 blueberry muffins. What is the total number of muffins that the baker makes on Monday?

On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?
pl

Solved

Show answers

Ответ:

zacharycheyne

18.03.2022

Mathematics

Question:

Which is the value of the expression

$\frac{(10^4)(5^2)}{(10^3)(5^3)}$

A. 1

B. 2

C. 8

D. 10

B. 2

Step-by-step explanation:

Given

$\frac{(10^4)(5^2)}{(10^3)(5^3)}$

Required

Evaluate

$\frac{(10^4)(5^2)}{(10^3)(5^3)}$

Split Fraction

$\frac{10^4}{10^3} * \frac{5^2}{5^3}$

From Laws of Indices

$\frac{a^x}{a^y} = a^{x-y}$

Applying this law to the above expression, we have

$10^{4-3} * 5^{2-3}$

$10^{1} * 5^{-1}$

$10 * 5^{-1}$

Also, from Laws of Indices

$a^{-1} = \frac{1}{a}$

Applying this law to the above expression, we have

$10 * \frac{1}{5}$

Multiply 10 by 1

$\frac{10 * 1}{5}$

$\frac{10}{5}$

Hence,

$\frac{(10^4)(5^2)}{(10^3)(5^3)} = 2$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice

On Monday, the baker makes 35 blueberry muffins. What is the total number of muffins that the baker makes on Monday? On Monday, the baker makes 35 blueberry muffins. What is the total number of muffins that the baker makes on Monday? pl

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

On Monday, the baker makes 35 blueberry muffins. What is the total number of muffins that the baker makes on Monday?

On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?
pl