Question

1. Express 27⁴ in exponential form as power of 3. 2. Express 49 × 49 × 49 × 49 × 49 in exponential form as power of 7.​

Answer 1

Answer:

1. 3^12

2. 7^10

Step-by-step explanation:

1.

27⁴

27 = 3³

27⁴

= ( 3³ )⁴        [   ( a^m )^n = a^( m × n )   ]  ---> Identity

Therefore, 27⁴ = 3^12

2.

49 × 49 × 49 × 49 × 49

= ( 49 )^5

49 = 7^2

( 49 )^5

= ( 7^2 )^5

= ( 7 )^( 2 × 5 )

= 7^10

Therefore, 49 × 49 × 49 × 49 × 49 = 7^10

Answer 2

Step-by-step explanation:

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