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Sagot :
so 8 to the blank power divided by 8 to the negative 4 power=8 to the 9th power so
simplify
8^-4 means a reciprocal so 8^-4 means 1/(8^4) or 1/4096
8^9 is 134217728
so (8^x)/(1/4096)=134217728
multiply both sides by 1/4096
8^x=134217728/4096=32768
32768= 2^15 or 2*2*2*2*2*2*2*2*2*2*2*2*2*2*2 or since we know that 8=2*2*2 we can group the 2's this way (2*2*2)(2*2*2)(2*2*2)(2*2*2)(2*2*2) we notice that there are 5 groups so 8^5 is the answer so x=5
simplify
8^-4 means a reciprocal so 8^-4 means 1/(8^4) or 1/4096
8^9 is 134217728
so (8^x)/(1/4096)=134217728
multiply both sides by 1/4096
8^x=134217728/4096=32768
32768= 2^15 or 2*2*2*2*2*2*2*2*2*2*2*2*2*2*2 or since we know that 8=2*2*2 we can group the 2's this way (2*2*2)(2*2*2)(2*2*2)(2*2*2)(2*2*2) we notice that there are 5 groups so 8^5 is the answer so x=5
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