Question

Write (4√81)^6 in exponential form.

Answer 1

Answer:

Step-by-step explanation:

$(4\sqrt{81})^{6} = (4*\sqrt{9*9} )^{6}\\\\=(4*9)^{6}\\\\=(2^{2}*3^{2})^{6}\\\\=[(2*3)^{2}]^{6}\\\\=(6)^{2*6}\\\\=6^{12}$

Exponent Laws:

$(a^{m}*b^{m}) = (a*b)^{m}\\\\(a^{m})^{n}=a^{m*n}$

Answer 2

$\huge\textsf{Hey there!}$

$\mathsf{(4\times\sqrt{81})^6}\\\\\mathsf{\sqrt{81} = \bf 9}\textsf{ because half of \underline{81} is \underline{9} or 9 multiplied by itself gives you 81}\\\\\mathsf{= (4\times9)^6}\\\\\mathsf{4\times9 = \bf 36}\\\\\mathsf{36^6}\\\mathsf{= 36\times36\times36\times36\times36\times36}\\\mathsf{= 1,296\times1,296\times1,296}\\\mathsf{= 1,679,616\times1,296}\\\mathsf{= \bf 2,176,782,336\ also\ known\ as \ 6^{12}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6}^{\bf 12}}}\huge\checkmark$

$\large\textsf{Good luck on your assignment and enjoy your day!}$

~$\frak{Amphitrite1040:)}$