2 What's the error? A student said that 3⁵÷9⁵ the same as 1/3 What mistake has the student made?
please answer correct wrong will be reported
Answers
Answer:
The mistake performed by the student was of multiplying the base with its exponent.
It appears likely that the student looks at 3^5\9^5 and sees a 5 in the numerator and another 5 in the denominator, so there are like things in the numerator and denominator to cancel out. By cancellation of the 5s, the student proceeds:
3^5\9^5=3\9=13 .
Such cancellation does not work for exponents at all. It works for bases of powers if the exponents are the same in the two powers—this is one of the division laws of powers. To apply division laws of powers, either the two bases must be the same (which they are not in this case) or the two exponents must be the same (which they are in this case). In the former case the exponents are subtracted; in the latter case, which applies here, the bases are divided and the exponent is kept (and it appears the student did the opposite of keeping the bases and, effectively, dividing the exponents).
What the student should have done is first apply the relevant division law of powers to simplify the expression and then crunch through the numbers in the last step:
3^5\9^5=(3\9)^5=(1\3)^5=1\3^5=1/243 .
Answer:
exponent
Step-by-step explanation:
bro he hasn't put exponent.
the correct answer is
1^5/3^5