Use the laws of exponents to simplify the expressions \frac{4^{4.2}}{4^{3}

nitraiddQ

nitraiddQ

Answered question

2021-09-20

Use the laws of exponents to simplify the expressions
44.243.7

Answer & Explanation

wheezym

wheezym

Skilled2021-09-21Added 103 answers

We can simplify the exponents using the laws of exponents . Here we can use the laws of exponents such as
aman=amn
aman=amn
Also we can use radical to exponent conversion forms to simplify the exponent terms,
The conversion formula a12=a can be used here . In general we have the conversion formula of exponent to radical as, a1n=an
Consider the expression 44.243.7
We can use the exponent law aman=amn
For a=4,m=4.2,n=3.7 from the exponent law we get,
44.243.7=44.23.7
=40.5
=412
=4
=2
Hence we have the simplest form 2 .

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