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inn [45]
3 years ago
13

Example 5

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer:

1/2*6(12+x)=12*x

1/2*(72+6)=12x

36+3x=12x

36=9x

4=x

Step-by-step explanation:

Check that x=4

1/2*6(4+12)=12*4

1/2*(24+72)=48

1/2(96)=48

48=48

So x=4 is the correct answer

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Solve: with full workings <br> (32/243)^-4/5​
Irina-Kira [14]

Answer:

(\frac{32}{243})^{-\frac{4}{5}}=39.0625

Step-by-step explanation:

Given

(\frac{32}{243})^{-\frac{4}{5}}

Required

Solve

(\frac{32}{243})^{-\frac{4}{5}}

Express 32 as 2^5 and 243 as 3^5

(\frac{2^5}{3^5})^{-\frac{4}{5}}

The exponent can be expressed as 1\5 * -4

So we have:

(\frac{2^5}{3^5})^{\frac{1}{5} * -4}

Apply law of indices:

(\frac{2^{5*1/5}}{5^{5*1/5}})^{-4}

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In indices:

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