Solve 5 ^ 19 * 5 ^ 25 * 1/(5 ^ 50) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$5^{19}\times5^{25}\times\frac{1}{5^{50}}$$

Evaluate

$\frac{1}{15625}=0.000064$

Solution Steps

To multiply powers of the same base, add their exponents. Add $19$ and $25$ to get $44$.

$$5^{44}\times \frac{1}{5^{50}}$$

Calculate $5$ to the power of $44$ and get $5684341886080801486968994140625$.

$$5684341886080801486968994140625\times \frac{1}{5^{50}}$$

Calculate $5$ to the power of $50$ and get $88817841970012523233890533447265625$.

$$5684341886080801486968994140625\times \frac{1}{88817841970012523233890533447265625}$$

Multiply $5684341886080801486968994140625$ and $\frac{1}{88817841970012523233890533447265625}$ to get $\frac{5684341886080801486968994140625}{88817841970012523233890533447265625}$.

$$\frac{5684341886080801486968994140625}{88817841970012523233890533447265625}$$

Reduce the fraction $\frac{5684341886080801486968994140625}{88817841970012523233890533447265625}$ to lowest terms by extracting and canceling out $5684341886080801486968994140625$.

$$\frac{1}{15625}$$

Factor

$\frac{1}{5 ^ {6}} = 6.3999999999999995 \times 10^{-5}$