Mathematics: Use powers of 2 to perform each calculation without a calculator or other technology (2^7⋅2^5)/16

Use powers of 2 to perform each calculation without

kamand10

07.01.2022

$\frac{2^{7} . 2^{5} }{16}$ = 256

Step-by-step explanation:

The given expression is $\frac{2^{7} . 2^{5} }{16}$

Now, the Laws of Exponents state that

1. $a^{x}.a^{y} = a^{(x+ y)}$

2. $\frac{a^{x} }{a^{y} } = a^{(x-y)}$

Now, simplifying the expression using the two laws, we get

$\frac{2^{7} . 2^{5} }{16}$ = $\frac{2^{7 + 5} }{16}$

Now, $16 = 2^{4}$

So, substituting 16 with it, we get

$\frac{2^{7 + 5} }{16}$ = $\frac{2^{12} }{2^{4}}$

= $2^{12 - 4} = 2^{8}$

Simplyimng this further, we get

$2^{8} = 256$

⇒ $\frac{2^{7} . 2^{5} }{16}$ = 256

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laurentsupreme

13.02.2022

Area of the parallelogram = 14 * PQ

Area of the triangle

= 1/2 * PQ*MQ = 1/6 * 14 * PQ

Divide through by PQ

1/2 MQ = 1/6 * 14

MQ = 1/6 * 14 * 2 = 4 2/3 cm^3 ( or 4.67 cm^3 to nearest hundredth.)

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