64⁶ × 256³ = 16^m+⁵
Evaluate it with full explanation
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64⁶ × 256³ = 16^m+⁵
Evaluate it with full explanation
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Answer:
Step-by-step explanation:
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[tex]64^{6} * 256^{3} = 16^{m+5} --(express .the .number .in. exponential .form .with .the .base .4) \\\\(4)^{18} * (4)^{12} = 16^{m+5} \\\\4^{(18+12)} = 16^{m+5} --(a^{m} * a^{n} = a^{(m+n)} 0\\\\4^{30} = 16^{m+5}\\\\4^{30} = 4^{2(m+5)}\\\\4^{30} = 4^{2m+10} \\\\30=2m+10 -- ( bases .are. equal, so .the. exponents .are .also. equal) \\\\30-10=2m\\\\20=2m\\\\m=20/2\\\\m=10[/tex]
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