The equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
<h3>How to evaluate the expression?</h3>
The expression is given as:
(8x)^-2/3 * (27x)^-1/3
Evaluate the exponent 8^-2/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * (27x)^-1/3
Evaluate the exponent (27x)^-1/3
(8x)^-2/3 * (27x)^-1/3 = 1/4(x)^-2/3 * 1/3(x)^-1/3
Multiply 1/4 and 1/3
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^-2/3 * (x)^-1/3
Evaluate the exponent
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-2/3 -1/3)
This gives
(8x)^-2/3 * (27x)^-1/3 = 1/12(x)^(-1)
So, we have
(8x)^-2/3 * (27x)^-1/3 = 1/12x
Hence, the equivalent expression of (8x)^-2/3 * (27x)^-1/3 is 1/12x
Read more about equivalent expression at
brainly.com/question/2972832
#SPJ1
The number of students who like Iphone: 46
I hope that answers your question!
Leo's balance after 9 months will be: $1757.49
Step-by-step explanation:
It is given that the balances follow a geometric sequence
First of all, we have to find the common ratio
Here

Common ratio is:

So r = 1.02
The general form for geometric sequence is:

Putting the first term and r

To find the 9th month's balance
Putting n=9

Rounding off to nearest hundredth
$1757.49
Hence,
Leo's balance after 9 months will be: $1757.49
Keywords: Geometric sequence, balance
Learn more about geometric sequence at:
#LearnwithBrainly
Step-by-step explanation:
areas of the figure = 130.25 ft ².
plz mark my answer as brainlist plzzzz vote me also.
<em>hope </em><em>this</em><em> will</em><em> be</em><em> helpful</em><em> to</em><em> you</em><em> </em><em> </em><em>.</em>
Answer:
An apple costs £0.25
A banana costs £0.34
Step-by-step explanation: