Question

Exponents

Solve this-

Answer 1

Hello friend

1. 6^19 × 6^18 × 1/6^30

Powers will be added when the bases are equal and are to be multiplied

6^(19+18) × 1/6^30

6^37/6^30

Powers will be subtracted when when the bases are equal and are to be divided

6^(37-30)

=6^7

=279936

2. 6^0-9^0-10^0

Any number to the power 0 will be equal to 1

1-1-1

=-1

Hope it helps!

Answer 2

6^19 × 6^18 × 1/6^30

= 6^(19+18) × 6^-30

[ Identities used → a^m × a^n = a^(m+n)
1/a^m = a^-m]

= 6^37 × 6^-30

= 6^(37+(-30))

= 6^(37-30)

= 6^7
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6^0 - 9^0 - 10^0

= 1 - 1 - 1 [ a^0 = 1]

= 1-2

= -1
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