To simplify this expression, we will first convert the negative exponent to a positive one by moving it to the denominator.
1 / 3^(log3^10) + 32^(log2^3)
= 1 / 3^(log3^10) + 2^5
Next, we can simplify the term 3^(log3^10) using the property log_a(b^c) = c*log_a(b).
log3^10 = 10*log3
= 1 / 3^(10*log3) + 2^5
= 1 / 3^log3^10 + 2^5
= 1 / 3^10 + 32
= 1 / 59049 + 32
= 0.00001695 + 32
= 32.00001695
Therefore, the simplified expression is approximately 32.00001695.
To simplify this expression, we will first convert the negative exponent to a positive one by moving it to the denominator.
1 / 3^(log3^10) + 32^(log2^3)
= 1 / 3^(log3^10) + 2^5
Next, we can simplify the term 3^(log3^10) using the property log_a(b^c) = c*log_a(b).
log3^10 = 10*log3
= 1 / 3^(10*log3) + 2^5
= 1 / 3^log3^10 + 2^5
= 1 / 3^10 + 32
= 1 / 59049 + 32
= 0.00001695 + 32
= 32.00001695
Therefore, the simplified expression is approximately 32.00001695.