Write an equivalent expression for the following problem:
$5^{5}$ x $5^{2}$

5^{10}

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5^{7}

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5^{3}

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25^{2}

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Solution

The correct option is B $5^{7}$
For multiplication of numbers with same base but different exponents, the exponents are added over the base. Here, the exponents 5 and 2 will be added over common base 5.
$5^{5}$ x $5^{2}$ = $5^{(5 + 2)} = 5^{7}$

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Write an equivalent expression for the following problem: 55x 52

The correct option is B 57For multiplication of numbers with same base but different exponents, the exponents are added over the base. Here, the exponents 5 and 2 will be added over common base 5. 55 x 52 = 5(5+2)=57

Write an equivalent expression for the following problem:
$5^{5}$ x $5^{2}$

The correct option is B $5^{7}$
For multiplication of numbers with same base but different exponents, the exponents are added over the base. Here, the exponents 5 and 2 will be added over common base 5.
$5^{5}$ x $5^{2}$ = $5^{(5 + 2)} = 5^{7}$