Question

Evaluate 2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power.

Answer 1

The evaluation of 2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power is as follows:

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = 6.76$

How to evaluate an expression?

2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power.

The following expression can be evaluated as follows;

$(\frac{2.6^{7} }{2.6^{6} } )^{2}$

Using the law of indices,

$(A^{x} )^{y} = A^{xy}$

Therefore,

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = (\frac{2.6^{14} }{2.6^{12} } )$

Using the law of indices,

$\frac{A^{x} }{B^{y} } = A^{x-y}$

Hence,

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = (\frac{2.6^{14} }{2.6^{12} } ) = 2.6^{14-12} = 2.6^{2} = 6.76$

Therefore,

$(\frac{2.6^{7} }{2.6^{6} } )^{2} = 6.76$

The evaluation of 2.6 raised to the seventh power divided by 2.6 raised to the sixth power, all raised to the second power is 6.76.

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