Question

Simplify-
(i) (-1)²⁷ × (-1)⁵³ × (-1)⁴
(ii) 5 × [25 + {(-4) × (16-8÷2)}]

Please solve by Explaining it​

Answer 1

Answer:

1.(-1)^84

2.-115

Step-by-step explanation:

1.According to product law of exponents,when multiplying two power that have the same base we can add the exponents.That is a^m*a^n=a^m+n.Here a is not equal to zero and m,n are integers.Note that the base should be the same in both the quantities.

So,

(-1)²⁷× (-1)⁵³ × (-1)⁴=(-1)^27+53+4=(-1)^84

2.According to BODMAS rule,we should calculate the Brackets first,then any Division or Multiplication and finally any Addition or Subtraction.So,

5× [25 + {(-4) × (16-8÷2)}]

5× [25 + {(-4) × (16-4)}]

5× [25 + {(-4) × 12}]

5× [25 + {-48}]

5× [25 - 48]

5× [-23]

-115