Question

Just How? (2a^2 c^4) ^-5 (c^-1 a^7)^6

Answer 1

Just how? (2a^2 c^4) ^-5 (c^-1 a^7)^6

ANSWER.


`\boldsymbol {(2^2 \ c^4)^(-5) (c^(-1) \ a^7)^6}\\ \\ \boldsymbol {= 2^(-10) \ c^(-20) \ (c^(-1) \ a^7)^6}\\ \\ \boldsymbol {= 2^(-10) \ c^(-20) \ c^(-6) \ a^(42)}\\ \\ \boldsymbol {= 2^(-10) \ a^(42) \ c^(-26)}\\ \\ \boldsymbol {(1)/(2^(10)) \ a^(42) \ c^(-26)}\\ \\ \boldsymbol {(1)/(2^(10)) \ a^(42) \ (1)/(c^(26))}\\ \\ \\ \boldsymbol {(1 \ \cdot \ 1 \ \cdot a^(42))/(2^(10) \ c^(26))}\\ \\ \\ \boldsymbol {= (a^(42))/(1024c^(26)) \ \checkmark.}`


`\boldsymbol {(a^(42))/(1024c^(26)) \Leftarrow \underline{Answer}}`

REGARDS!

Answer 2

Express with a positive exponent
2∧5 a∧-10 c∧-20 × c∧-6 a∧42
Evaluate the power
1/2∧5×a∧-10 c∧-20 × c∧-6 a∧42
Calculate the product
1/32a∧-10 c∧-20 × c∧-6 a∧42
Express with a positive exponent
1/32a∧32 c∧-26
Calculate the product
1/32a∧32 × 1/c∧26
Answer

a∧32/32c∧26