I need the answer please help me.

Q1) explain how can you write a quotient of powers using a single power. use your examples to illustrate your explanation

Q2) A crawlspace in each station has the space of a rectangular prism. it is about 100 cm high, 10 cm wide and 1 km long. what is the volume enclosed by the crawlspace?

Q3)What is the probability of rolling eight perfect squares in a row

Q1) / =

Q2) cm cube  

Q3) 0.000152

Step-by-step explanation:

Step 1:

Q1)

Quotient of power rule indicates that when we are dividing 2 exponents with the base which are same but different powers, the answer would have the same base and the exponent would be the difference in power.

For example / =

/ = =

Step 2 :

Q2)

The volume of the given rectangular prism is the height multiplied by the width multiplied by the length

= 100 * 10 * 100000 = 100000000 = cm cube. [Given h = 1 cm, w = 10 cm, l = 1 km = 100000cm]

Step 3 :

Q3)

Probability of obtaining a perfect square in a single roll of a die is 2/6 (As the total number of outcome is 6 and number of favorable outcome is 2 (perfect squares are 1 and 4)

Hence probability of obtaining eight perfect squares are = 0.000152

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

i think the length is 12 and the width is 17