Question

Which expressions have a value of 16/81? Check all that apply.​

Answer 1

2) 4/9

Explanation:

well when you simplify you will get this awnser.

Answer 2

`\huge\text{Hey there!}`

`\large\textsf{Which expressions have a value of }\mathsf{(16)/(81)?\ }\large\textsf{Check ALL that APPLY. }`

`\mathsf{((2)/(3))^4}\\\\\mathsf{= \bf (2)/(3)*(2)/(3)*(2)/(3)* (2)/(3)}\\\\\mathsf{= \bf (2*2*2*2)/(3*3*3*3)}\\\\\mathsf{2*2*2*2}\\\mathsf{2*2 = \bf 4}\\\mathsf{4*4= \bf 16}\\\\\mathsf{(\bf 16)/(3*3*3*3)}\\\\\mathsf{3*3*3*3}\\\mathsf{3*3 = 9}\\\mathef{9*9 = \bf 81}\\\\\mathsf{(16)/(\bf 81)}\\\\\mathsf{= \bf (16)/(81)}`

`\large\text{Option A. could POSSIBLY be your ANSWER}`

`\mathsf{((16)/(3))^4}\\\\\mathsf{= (16)/(3)*(16)/(3)*(16)/(3)*(16)/(3)}\\\\\mathsf{= (16*16*16*16)/(3*3*3*3)}\\\\\mathsf{16*16*16*16}\\\mathsf{16*16= \bf 256}\\\mathsf{256*256 = \bf 65,536}\\\\\mathsf{(\bf 65,536)/(3*3*3*3)}\\\\\mathsf{3*3*3*3}\\\mathsf{3*3 = \bf 9}\\\mathsf{9*9 = \bf 81}\\\\\\\mathsf{(65,536)/(\bf 81)}\\\\\mathsf{\bf = (65,536)/(81)}`

`\large\text{Option B. CANNOT be your POSSIBLE ANSWER}`

`\mathsf{((4)/(81))^2}\\\\\mathsf{=(4)/(81)*(4)/(81)}\\\\\mathsf{= (4*4)/(81*81)}\\\\\mathsf{4*4= \bf 16}\\\\\mathsf{(\bf 16)/(81*81)}\\\\\mathsf{81*81=\bf 6,561}\\\\\mathsf{(16)/(\bf 6,561)}\\\\\mathsf{= \bf (16)/(6,561)}`

`\large\text{Option C. CANNOT be your POSSIBLE ANSWER}`

`\mathsf{((4)/(9))^2}\\\\\mathsf{= (4)/(9)* (4)/(9)}\\\\\mathsf{= (4*4)/(9*9)}\\\\\mathsf{4*4 = \bf 16}\\\\\mathsf{(\bf 16)/(9*9)}\\\\\mathsf{9*9 = \bf 81}\\\\\\\mathsf{(16)/(\bf 81)}\\\\\\\mathsf{= \bf (16)/(81)}`

`\large\text{Option D. could POSSIBLY be your ANSWER}`

`\mathsf{((1)/(81))^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}`

`\large\text{Option E. CANNOT be your POSSIBLE ANSWER}`

`\boxed{\boxed{\mathsf{Answer:\bf Option\ A. ((2)/(3))^4} \&\ \bf Option\ D. ((4)/(9))^2}}}\huge\checkmark`

`\text{Good luck on your assignment and enjoy your day!}`

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`\frak{Amphitrite1040:)}`