if 5 raise to power y multiply 20 raise to power y is equal to 10000 then what os the value of y
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5^y×20^y=10000
(5×20)^y=10000
100^y=10000
100^y=100²
Comparing both sides we find
y=2
(5×20)^y=10000
100^y=10000
100^y=100²
Comparing both sides we find
y=2
InfinityMS:
(2×5)^y=1000
Answered by
1
According To The Question →
5^y × 20^y = 10000
[So, As we know the rules of exponents ,
aⁿ × bⁿ = (ab)ⁿ]
or, (5×20)^y = 10000
or, 100^y = 10000
or, 100^y = 100^2
[ As , we know rules of exponents -
if, a^m = a^n , then m=n]
or, y = 2
Answer→ Value of y = 2.
5^y × 20^y = 10000
[So, As we know the rules of exponents ,
aⁿ × bⁿ = (ab)ⁿ]
or, (5×20)^y = 10000
or, 100^y = 10000
or, 100^y = 100^2
[ As , we know rules of exponents -
if, a^m = a^n , then m=n]
or, y = 2
Answer→ Value of y = 2.
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