Question

Simplify:
–5^2 x 3^4 x 10^-2 x a^4
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36 x 5^4 x 20^-3 x a^-2​

Answer 1

Answer:

Step-by-step explanation:

First we factor out the bases

- 5^2 * 3^4 * (5*2)^-2 * a^4

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(2*3)^2 * 5^4* (4*5)^-3 *a^-2

second we distribute the power over these bases

- 5^2 * 3^4 * 5^-2 *2^-2 * a^4

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2^2 * 3^3* 5^4 *4^-3 * 5^-3 *a^-2 => (4^-3 =2^-6)

3. Sum the powers with the same bases

- 5^2-2 * 3^4 *2^-2 * a^4

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2^2-6 * 3^3* 5^4-3 *a^-2

Do the calculation

- 5^0 * 3^4 *2^-2 * a^4

-------------------------------- =

2^-4 * 3^3* 5^1 *a^-2

Bring the terms in denominator to the nominator by changing the sign of power

- 5^0-1 * 3^4-3 *2^-2+4 a^4+2 = - 5^-1* 3^1 *2^2 a^6 = - (3*4*a^6 ) / 5 = -12/5 *a^6