Question

solve the following questions​

Answer 1

Answer:

1.

i)3.456×10^8

ii)165700

iii)3.267587×10^4

2.

x=2

3.

15

Step-by-step explanation:

1.

i) 345,600,000=3.456×10^8

ii) 1.657×10^5=165700

iii)32675.87=3.267587×10^4

2.

(81^-4)+(729)^2-x=9^4x

=((9²)^-4)+(9³)^2-x=9^4x

=9^-8+9^6-x=9^4x

As all the bases are equal, we can consider only the powers in the equation

=-8+6-x=4x

=(-8/4)+6-x=x

=(-2)-x=x-6

=-x-x=-6+2

=-2x=-4

=-x=-4/2

=-2

=x=2

3.

25²×6³×2^9/8^4×5^3×9

=(5²)²×(3×2)³×2^9/(2³)^4×5³×3²

=5^4×3³×(2³×2^9)/2^12×5³×3²

=(5^4-3)×(3^3-2)×(2^12-12)

=5^1×3^1×2^0

=5×3×1

=15

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