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What is each expression written using each base only once? 8 ^ 8 x 8 ^ 4
A. 512 ^ 12
B. 8 ^ 32
C. 24 ^ 12
D. 8 ^ 12


Sagot :

D! When base numbers are being multiplied, you add the exponents. So 8 + 4 would be 12.

Answer:

Option (d) is correct.

The given expression  [tex]8^8 \times 8^4[/tex] using base only once is [tex]8^{12}[/tex]

Step-by-step explanation:

Given expression [tex]8^8 \times 8^4[/tex]

We have to write the given expression using each base only once.

Consider the given expression  [tex]8^8 \times 8^4[/tex]

We know, property of exponents, [tex]a^n\times a^m=a^{m+n}[/tex]

Using the above property we have,

[tex]8^8 \times 8^4=8^{8+4}[/tex]

Thus, simplify , we get,

[tex]8^8 \times 8^4=8^{12}[/tex]

Thus, option (d) is correct.

The given expression  [tex]8^8 \times 8^4[/tex]  using base only once is [tex]8^{12}[/tex]

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