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romanna [79]
3 years ago
11

The expression X^-6 is equivalent to ?

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:

x^{-3} × x^{-3}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{(m+n)}

Given

x^{-6}, then

x^{-3} × x^{-3} = x^{(-3+(-3))} = x^{(-3-3)} = x^{-6}

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Answer and Step-by-step explanation:

<em>116 b.</em>

2^{10} = 1024\\2^8 = 256\\\\1024 + 256 = 1280\\\\\\2^5 = 32\\2^3 = 8\\\\32 - 8 = 24

1280 × 24 = 30720

<u>30720 ÷ 60 = 512. 512 is the solution; the expression is divisible by 60.</u>

<em>116 c.</em>

16^3 = 4096\\8^3 = 512\\\\4096 - 512 = 3584\\\\\\4^3 = 64\\2^3 = 8\\\\64 + 8 = 72

3584 × 72 = 258048

<u>258048 ÷ 60 = 4096. 4096 is the solution; the expression is divisible by 63.</u>

<em>116 d.</em>

125^2 = 15625\\25^2 = 625\\\\15625 + 625 = 16250\\\\\\5^2 = 25\\\\25 - 1 = 24

16250 × 24 = 390000

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3 years ago
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Answer:

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