What factor is paired with 21 to give 63?

3⁵.2⁴.2¹.3⁶.(3²)⁴ and down (2³)².3⁶

BARSIC [14]

Answer:

$\dfrac{3^{13}}{2}$

Step-by-step explanation:

Given expression:

$\dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot (3^2)^4}{(2^3)^2 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\implies \dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot 3^8}{2^6 \cdot 3^6}$

$\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:$

$\implies \dfrac{3^{(5+6+8)} \cdot 2^{(4+1)}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{2^6 \cdot 3^6}$

$\implies \dfrac{3^{19} \cdot 2^{5}}{3^6 \cdot 2^6}$

$\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies 3^{(19-6)} \cdot 2^{(5-6)}$

$\implies 3^{13} \cdot 2^{-1}$

$\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:$

$\implies \dfrac{3^{13}}{2^1}$

$\textsf{Apply exponent rule} \quad a^1=a:$

$\implies \dfrac{3^{13}}{2}$

4 0

2 years ago

Find the length of AC.

enyata [817]

Answer:

21√2 m

Step-by-step explanation:

AC = √AD²+CD²

= √21²+21²

=√2×21²

= 21√2 m

6 0

3 years ago

Read 2 more answers

If the correlation between variable a and variable b is .20, then variable a explains _____ of the variance in variable

timofeeve [1]

The answer would be b. I think.

4 0

4 years ago

A runner finishes a race in 2:27:15 Explain the meaning of the Digits?

Alborosie

Step-by-step explanation:

It could be 2 hours 27 minutes 15 seconds

3 0

3 years ago

Which of the following is NOT a possible value for the correlation coefficient? 1) negative 0.9 2) zero 3) positive 0.15 4) posi

AnnyKZ [126]

Answer:

4) positive 1.05

Step-by-step explanation:

Correlation:-

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together.

Examples:i) The yield of a crop varies with the amount of rainfall

ii) The price of a commodity increases with the reduction in its supply and so on.

That is when the changes in one variable are associated or followed by changes in the other, is called correlation

positive correlation:- If an increase (or decrease ) in the values of one variable corresponds to an increase(or decrease ) in the other, then correlation is said to be positive.

negative correlation:- If an increase (or decrease ) in the values of one variable corresponds to an decrease(or increase ) in the other, then correlation is said to be negative.

no correlation:-

If there is no relationship indicated between the variables,they are said to be independent or uncorrelated.

uses of correlation:-it is used in presenting the average relationship between any two variables through a single value of co-efficient of correlation. correlation is a statistical technique that can show whether and how strongly pairs of variables are related.

The range of correlation is $-1\leq r\leq 1$

r=-1 is the negative correlation

r=1 is the positive correlation

so the answer is not a possible value for the correlation coefficient is positive 1.05.

4 0

3 years ago