# Factor 2/(t^8)+6t^(24-4t^-16)

2t8+6t24-4t-16
Simplify each term.
Rewrite the expression using the negative exponent rule b-n=1bn.
2t8+6t24-41t16
Combine -4 and 1t16.
2t8+6t24+-4t16
Move the negative in front of the fraction.
2t8+6t24-4t16
2t8+6t24-4t16
To write 6t24-4t16 as a fraction with a common denominator, multiply by t8t8.
2t8+6t24-4t16t8t8
Combine the numerators over the common denominator.
2+6t24-4t16t8t8
Rewrite 2+6t24-4t16t8t8 in a factored form.
Factor 2 out of 2+6t24-4t16t8.
Factor 2 out of 2.
2(1)+6t24-4t16t8t8
Factor 2 out of 6t24-4t16t8.
2(1)+2(3t24-4t16t8)t8
Factor 2 out of 2(1)+2(3t24-4t16t8).
2(1+3t24-4t16t8)t8
2(1+3t24-4t16t8)t8
Multiply t24-4t16 by t8 by adding the exponents.
Move t8.
2(1+3(t8t24-4t16))t8
Use the power rule aman=am+n to combine exponents.
2(1+3t8+24-4t16)t8
2(1+3t32-4t16)t8
2(1+3t32-4t16)t8
2(1+3t32-4t16)t8
Factor 2/(t^8)+6t^(24-4t^-16)

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