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Andrei [34K]
3 years ago
7

Consider the two numerical expressions below. Which one is true and which one is false? (9 1/2) 4 = 81 (4 1/6) 3 = 16

Mathematics
2 answers:
melomori [17]3 years ago
7 0
Both of them are false
crimeas [40]3 years ago
4 0
Do you mean exponents? If so then

<span>(9^1/2)^4 
= 9^(1/2 *4)
= 9^4/2
= 9^2
= 81 ....This is true
---------------------------

</span><span>(4^1/6)^3 
</span>= 4^(1/6 *3)
=4^3/6
=4^1/2
= sqrt (4)
= 2 .......not equal 16 .....so it's false

so answer

(9^1/2)^4  = 81 is true
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We need to determine whether \frac{11}{128} is a terminating decimal or a repeating decimal.

Let's solve this question using the long division method

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Next, since the divisor (128) is greater than the dividend (11) it can not divide 11. Hence, we will introduce a decimal point in quotient, and append a 0 next to 11 and divide 110 by 128. Again, 128 is greater than 110 so we will introduce a 0 in the quotient, and append another 0 next to 110, and will divide 1100 by 128. We will see what multiple of 128 is less than or equal to 1100. That multiple is 8. So we write 8 in the quotient and multiply 128 with 8 and subtract the product (128*8 = 1024) from 1100. The remainder that we get is 76.

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Please refer to the attached image for visualization

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