Question

ASAP !

If h is not equal to zero, what is the value of (6h)^2/3(2h)^2


2 - In which of the following are 1/2 , 4/7 and 5/9 arranged in ascending order ?

a) 4/7 < 5/9 < 1/2
b) 4/7 < 1/2 < 5/9
c) 5/9 < 1/2 < 4/7
d) 1/2 < 5/9 < 4/7

What does ascending order mean ?

Answer 1

1.
simle
properties of exponents

`(xy)^m=(x^m)(y^m)`
and

`(x^m)(x^n)=x^(m+n)`
and

`x^ (m)/(n)= \sqrt[n]{x^m}`

first split it up

`(6h)^ (2)/(3)(2h)^2`=

`(6^(2)/(3))(h^(2)/(3))(2^2)(h^2)`=

`(\sqrt[3]{h^2})(h^2)(4)(\sqrt[3]{6^2})`=

`(\sqrt[3]{h^2})(h^2)(4)(\sqrt[3]{36})`

`(\sqrt[3]{h^2})(\sqrt[3]{36})(h^2)(4)`

`(\sqrt[3]{36h^2})(4h^2)`=

`4h^2\sqrt[3]{36h^2}`


1/2 and 4/7 and 5/9

2*7*9=126

1/2 times 63/63=63/126

4/7 times 18/18=72/126

5/9 times 14/14=70/126

acending
63/126<72/126<70/126
1/2<5/9<4/7
answer is D