[ 22 · a^5 ]² / [ 200a ]²
[ 22 · a^5 ]² = 22² · (a^5)² = 484a^10 When squaring multiplied factors, square each one.
[ 200a ]² = 200² · a² = 40000a²
So: [ 22 · a^5 ]² / [ 200a ]² = ( 484a^10 ) x ( 40000a² ) When raising an exponent to an exponent, multiply the exponents.
= [ 484 / 40000] x [ a^10 / a² ]
= (121/10000) x a^8
= 121a^8 / 10000
This is a very complex problem, do you have any questions about it?
[ 22 · a^5 ]² / [ 200a ]²
[ 22 · a^5 ]² = 22² · (a^5)² = 484a^10 When squaring multiplied factors, square each one.
[ 200a ]² = 200² · a² = 40000a²
So: [ 22 · a^5 ]² / [ 200a ]² = ( 484a^10 ) x ( 40000a² ) When raising an exponent to an exponent, multiply the exponents.
= [ 484 / 40000] x [ a^10 / a² ]
= (121/10000) x a^8
= 121a^8 / 10000
This is a very complex problem, do you have any questions about it?