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Korvikt [17]
3 years ago
7

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4?

Mathematics
2 answers:
mr_godi [17]3 years ago
8 0
Im not sure about those answers! But here is what i got !

Grace [21]3 years ago
3 0

Answer:

Option 2 - \frac{2^2\times 2^3}{2^4}=2^{1}

Step-by-step explanation:

Given : Expression '2 power 2 multiplied by 2 power 3 over 2 power 4'.

To find : What is the simplified expression ?

Solution :

Writing expression in numeric form,

'2 power 2 multiplied by 2 power 3 over 2 power 4',

i.e. \frac{2^2\times 2^3}{2^4}

Solving the expression,

As, x^a\times x^b=x^{a+b}

\frac{2^2\times 2^3}{2^4}=\frac{2^{2+3}}{2^4}

\frac{2^2\times 2^3}{2^4}=\frac{2^{5}}{2^4}

As, \farc{x^a}{x^b}=x^{a-b}

\frac{2^2\times 2^3}{2^4}=2^{5-4}

\frac{2^2\times 2^3}{2^4}=2^{1}

\frac{2^2\times 2^3}{2^4}=1

Therefore, The option 2 is correct.

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