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Hoochie [10]
3 years ago
12

1.Evaluatea.(243/32)^-0.4​

Mathematics
1 answer:
Basile [38]3 years ago
6 0

Answer:

4/9

Step-by-step explanation:

negative exponent means 1/...

so, this is

(32/243)^(4/10) = (32/243)^(2/5)

that means to the power of 2 and then pulling the 5th root.

so, let's pull the 5th root first, and then we square

(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9

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Question: 300 is what percent of 51?

Percentage solution with steps:

Step 1: We make the assumption that 51 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=51$100%=51​.

Step 4: In the same vein, $x\%=300$x%=300​.

Step 5: This gives us a pair of simple equations:

$100\%=51(1)$100%=51(1)​.

$x\%=300(2)$x%=300(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

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100%

x%​=

51

300​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

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