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arsen [322]
3 years ago
11

Work out (8x10^-3) x (2x10^-4)​

Mathematics
2 answers:
Fynjy0 [20]3 years ago
5 0

Answer:

(8 × 10^-3)× ( 2× 10 ^-4)

reorder the terms

You will get

(8 × 2) ( 10^ -3 × 10^-4)

Multiply

16 ( 10^ -3 × 10^-4)

Use the rules of indices

a^ b × a^ c = a^b+c

16(10^-3-4)

16(10^-7)

= 16 × 10^-7 or 1.6 × 10^-6 or 0.0000016

Hope this helps.

love history [14]3 years ago
3 0

Answer:

1.6 \times 10^{-6}

Step-by-step explanation:

(8 \times 10^{-3}) \times (2 \times 10^{-4})

8 \times 2 \times 10^{-3} \times 10^{-4}

16 \times 10^{-3+(-4)}

16 \times 10^{-3-4}

16 \times 10^{-7}

1.6 \times 10^{-6}

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We must find the common denominator.

LCM(6, 3) = 6

5\dfrac{1}{6}-1\dfrac{1}{3}=5\dfrac{1}{6}-1\dfrac{1\cdot2}{3\cdot2}=5\dfrac{1}{6}-1\dfrac{2}{6}=(5-1)+\left(\dfrac{1}{6}-\dfrac{2}{6}\right)=4-\dfrac{1}{6}=3\dfrac{5}{6}

or other method of calculating the difference

5\dfrac{1}{6}-1\dfrac{2}{6}=4\dfrac{6+1}{6}-1\dfrac{2}{6}=4\dfrac{7}{6}-1\dfrac{2}{6}=(4-1)+\left(\dfrac{7}{6}-\dfrac{2}{6}\right)=3\dfrac{5}{6}

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